Length of sides of triangle Whether you're looking for the 30 60 90 triangle formulas for the hypotenuse, wondering about the 30 60 90 triangle ratio, or simply want to check what this triangle looks like, you've found the right website. Since all the three sides are of different lengths, the three angles will also be different. Find the length of the parallel sides of a trapezium, which are in the ratio 1:2, if its height is 2 cm and area is 18 c m 2 . 题目来源3 : 2021年考满分gpo新题模考. Solution: The perimeter of a triangle is the sum of all the sides = 7 + 8 + 9 = 24 units. Isosceles triangle: If two sides of a triangle are equal, it is called an isosceles triangle. All sides and angles are equal in length and degree. The length of the sides of a triangle are 5 cm, 12 cm and 13 cm. a What is the length of the side of the large square in the figure? Run 2: ----- Enter length of side a: 2 Enter length of side b: 4 Enter length of side c: 15 Triangle is Invalid. Oct 25, 2024 · Types of triangles by length of sides. , 10 cm. Oct 9, 2024 · To determine the height of an equilateral triangle: Write down the side length of your triangle. This regular triangle has all sides equal, so the formula for the perimeter is: perimeter = 3 × a. We classify the triangles by their sides as equilateral, isosceles, and scalene. Equilateral: It's a triangle with sides of equal length. Sides "a" and "b" are the perpendicular sides and side "c" is the hypothenuse. Step 4 - So, the side length of the sides of a similar triangle is given below: In geometry, an equilateral triangle is a triangle that has all its sides equal in length. However, sometimes they are referred to as having at least two sides of equal length. what is the maximum length that the third side can be? Find a Side when we know another Side and Angle. Popular Problems-Solve the Triangle A = 4 5, B = 5 2, a = 1 5 Solve the Triangle a = 4, b = 1 0, c = 7 Solve the Triangle B = 1 2 7, a = 3 2, C = 2 5 Solve the Triangle B = 8 5, C = 1 5, b = 4 0 Solve the Apr 24, 2017 · According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. org and *. The length of side c is equal to the length of side a times the square root of 2. The theorem states that the hypotenuse of a right triangle can be easily calculated from the lengths of the sides. Scalene Triangle: All sides have different lengths and all angles have different measures. Below you'll also find the explanation of fundamental laws concerning triangle angles: triangle angle sum theorem, triangle exterior angle theorem, and angle bisector theorem. 5 c=2 b=4 find side a if we know sides b, c, and the area Jan 7, 2025 · The two new triangles you have created are similar to each other and the main triangle. Solution: To find the length of the third side of the triangle, we will use the law of cosines. Input Format. Find the length of the third side of the triangle. 6k points) jee main 2022 题目来源1 : 2020年gre数学新800题. The sum of the three interior angles of a triangle is always 180°. Side a will be equal to 1/2 the side length, and side b is the height of the triangle that we need to solve. Examples: Input: s1 = 3, Dec 6, 2024 · A triangle can be considered as an isosceles triangle if and only if two sides of the triangle have the same length and two equal angles. Step 3 - Now, divide both the perimeters of the triangles, that is: = 2. Therefore there can be two sides and angles that can be the "largest" or the Oct 9, 2024 · You can easily find the perimeter of an equilateral triangle by adding all triangles sides together. Cos θ = Length of Base side/Length of Hypotenuse side. Where A, B and C are angles of the triangle. There are 3 types of triangles based on the measure of their sides. DF $= \frac{1}{2}$ AC. Jul 20, 2024 · A right triangle may be scalene or isosceles, but it can never be an equilateral triangle. Since the sides of a triangle correspond to its angles, this means that isosceles triangles also have two angles of equal measure. Area. In this triangle we know: angle A = 49° b = 5; and c = 7 . Using the triangle length calculator: The sum of the lengths of any two sides of a triangle is always larger than the length of the third side Pythagorean theorem: The Pythagorean theorem is a theorem specific to right triangles. Oct 25, 2024 · Practice Questions on Finding the Third Side of a Triangle. The sum of the lengths of any two sides of a triangle is always larger than the length of the third side Pythagorean theorem: The Pythagorean theorem is a theorem specific to right triangles. Find the side of an equilateral triangle with an area of 36√3 sq. Use The Law of Cosines to find side a first:. kastatic. Since we know 1 side and 1 angle of this triangle, we will use sohcahtoa. So, if you know the length of any two sides of a right triangle, you can calculate the length of the third side using this formula. units. Examples: Input : arr[] = { 2, 3, 9, 10, 12, 15 }. Given below is an example of a scalene triangle. We have, A = 36√3 [Tex]a^2=\frac{4(36√3)}{\sqrt{3}}[/Tex] a 2 = 144. Hence, all the sides will be of the same length, i. The perimeter of an isosceles triangle comes under the parent topic mensuration which is a branch of geometry that deals with measurements of 2D/3D figures. DE $= \frac{1}{2}$ BC. Usually, we have the leg length a, the base angle α, and the vertex angle β. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Find Jul 25, 2016 · Not A Triangle: The given values of A, B, and C don't form a triangle. The vertex angle is the angle between the legs. perimeter_SSS = 3 cm + 2 cm + 4 cm. Step 2 - Now, determine the perimeter of the triangle whose sides are 15 cm, 20 cm, 30 cm. See Solving "AAS" Triangles. Area & Perimeter; Sides; Angle Between Lines; A triangle has sides of lengths 5 cm, 8 cm, and 푥 cm. Example 2: Calculate the length of the altitude of a scalene triangle whose sides are 7 units, 8 units, and 9 units respectively. A triangle is a 3-sided polygon. 5 × Base × Height; Area = 0. Isosceles: It's a triangle with sides of equal length. So the missing side length is 3 An isosceles triangle is a triangle that has two sides of equal length. Outpu b Use the distance formula to compute the lengths of the other two sides of the triangle. The lengths of the three sides are equal in an equilateral triangle. ” Converse: The line drawn through the midpoint of one side of a triangle, parallel to another side bisects the third side. We need to find the value of c. The length of a side (the base) is 2x while the length of the height is . P' = 15 + 20 + 30. The hypotenuse c will be equal to the original side length. The calculator uses the law of cosines, which is a generalization of the Pythagorean theorem, to compute the length of the third side of a triangle given the lengths of two sides and the angle between them. 1. Let us name the sides of the scalene triangle to be 'a', 'b', and 'c' respectively. 9. In fact, the biggest angle in this triangle is a bit more than 104° , so it's an obtuse angle . State the range of values that 푥 can take. A triangle is a closed, two-dimensional shape that has 3 sides, 3 angles, and 3 vertices. A triangle that has two sides of the same length and the third side of a different length is an Dec 16, 2018 · where a, b, and c are the length of the sides of the triangle. We can find an unknown side in a right-angled triangle when we know:. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. 2. [latex]s = {P \over 3}[/latex] [latex] s = {{18} \over 3}[/latex] [latex] s = 6[/latex] The length of the medians differs in a scalene triangle. Semi-perimeter (s) = 24/2 =12 units. Equilateral triangles An equilateral triangle has all sides equal in length and all interior angles equal. What are the Types of Triangles Based on Sides? On the basis of sides, triangles are classified into 3 types. a 2 = b 2 + c 2 − 2bc cosA Prove: In a 45°-45°-90° triangle, the hypotenuse is √2 times the length of each leg. Question 6. The third side of the triangle is called the base. Let's enumerate a few examples: Area = 0. A triangle with vertices P, Q, and R is denoted as PQR. a=4, b=x, and c=5. If you're given the lengths of the two sides it is easy to find the hypotenuse. Step 2 Set up an equation using the sine, cosine or tangent ratio Since we want to know the length of the hypotenuse , and we already know the side opposite of the 53° angle, we are dealing with sine. Question 1: What formula do we use to find the third side of a triangle when given the lengths of the two sides? Question 2: If one side of a triangle is 5 cm and the other is 12 cm. The angles with the base as one of their sides are called the base angles. Once you have the lengths of all three sides, you can use the Law of Cosines to find the measure of each angle in the triangle. Pythagorean Theorem. Feb 20, 2023 · Given an array of n positive distinct integers representing lengths of lines that can form a triangle. There is also a special formula to find the area of a 45 45 90 right triangle: A = a² / 2. Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the triangle is a right triangle, an isosceles triangle, or neither. Suppose a, b and c are the lengths of the sides of a triangle, then, the sum of lengths of a and b is greater than the length c. The hypotenuse is the longest side of a right triangle. . ” The length of the median of a triangle can be calculated if the length of the three sides is given. The equilateral triangle, for example, is Jun 30, 2024 · If the hypotenuse of a 45-45-90 triangle measures 18 cm, the length of any of its two legs is 9√2 cm or 12. Classification of triangles is done according to the length of their sides and the measure of the angles. A triangle has three sides, three vertices, and three angles. [7] Jan 25, 2023 · Q. The angles Nov 30, 2022 · The height of a triangle at a base side g always corresponds to the perpendicular distance from the opposite corner point to the side g or its extension. Jul 30, 2024 · An isosceles triangle is a triangle with two sides of equal length, called legs. It means we can easily find the side length by dividing the perimeter by [latex]3[/latex]. perimeter_SSS = 9 cm Example 1. If you're behind a web filter, please make sure that the domains *. Note that the length of all the sides must be integers. Since two of the angles are 60° each, the third angle will be 180° - (60° + 60°) = 60°. Suppose a triangle ABC is given, then as per the formula; Perimeter of ABC = AB + BC + AC. Let a be the length of the sides, A - the area of the triangle, p the perimeter, R - the radius of the circumscribed circle, r - the radius of the inscribed circle, h - the altitude (height) from any side. Only in one instance can a right triangle be an isosceles triangle - when it has two equal sides and angles. Isosceles triangles Isosceles triangles have two sides the same length and two equal interior angles. 73. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. P' = 65 cm. A scalene triangle has all side lengths of different measures. Using our example equilateral triangle with sides of 8, c = 8 and a = 4. As opposed to the equilateral triangle, isosceles triangles come in many different shapes. The Law of Cosines states that: c 2 = a 2 + b 2 - 2ab * cos(C) where c is the length of the side opposite angle C, a and b are the lengths of the other two sides, and C is the measure of the angle opposite side c. Examples: Input: s1 = 3, s2 = 6 Output: Max = 8 Min = 4 Input: s1 = 5 Jul 31, 2024 · Another of special triangles is the isosceles triangle, which has 2 sides of equal length, and hence two angles of the same size. 5. We can then apply trigonometry to one half of the isosceles triangle, which is a right triangle with angles α and β/2, a hypotenuse of length a, and a side of length b/2. T=2. If you need to find the length of one of the sides of a triangle, our free online triangle side calculator can help. Triangle definition. It is the polygon with the fewest sides. EF $= \frac{1}{2}$ AB. By combining like terms, 2a2 = c2. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. According to the lengths of their sides, triangles can be classified into three types which are: Scalene; Isosceles; Equilateral; Let us discuss them one by one. Input the length of side, b = 4 b = 4 b = 4. Not A Triangle: The given values of A, B, and C don’t form a triangle. Sep 3, 2024 · Suppose the side length is a. 3a = P. Using the length of a side of the triangle and the corresponding height h, the area F of the triangle can be calculated. triangle calc by two sides a,c and included angle B. Therefore there can be two sides and angles that can be the "largest" or the If you need to find the length of one of the sides of a triangle, our free online triangle side calculator can help. The TRIANGLES table is described as follows: To find the perimeter of a triangle knowing its three sides (SSS triangle), all you have to do is add the three known sides. 5 × a × b × sin(γ) Where: a, b, and c are the length of the obtuse triangle's sides. Since we only know what the side lengths are we must use the Pythagorean Theorem. 728 cm. Jul 1, 2024 · No, the triangle with side lengths 2, 3, 4 is not acute because the sum of squares of the shorter sides 2²+ 3² = 13 is strictly less than the square of the longest side 4² = 16. 题目来源2 : 2021年10月全球gre机经题. A triangle that has all three sides of different lengths is a scalene triangle. 题目来源4 : 2021年10月全球gre机经题 May 13, 2024 · The sum of all the angles of a triangle is equal to 180° The sum of the lengths of any two sides of a triangle is greater than the length of the third side; The difference between any two sides of a triangle is less than the length of the third side; An exterior angle of a triangle is equal to the sum of its interior opposite angles. To get to this answer: To get to this answer: Take the sin of any of the 45° angles, which equals any of the legs ( a ) divided by the hypotenuse ( c ): Such a triangle can be solved by using Angles of a Triangle to find the other angle, and The Law of Sines to find each of the other two sides. The side that is opposite to the 30° angle, 'y' will always be the smallest since 30° is the smallest angle in this triangle. The area A of the right triangle is equal to the length of leg a squared, divided by 2. An equilateral triangle can be broken down into 2 30-60-90 right triangles (see image). This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12. The three midsegments of a triangle form a triangle similar to the original triangle. This includes calculating the hypotenuse. Q. For scalene triangles, since each side has a different length, in most cases the problem likely will provide the side lengths, or make it possible to find the side lengths. 44. c Show that the sides of the triangle satisfy the Pythagorean theorem, \(a^2 + b^2 = c^2\). Divide the result by 2. Tan θ = Length of Perpendicular side/Length of Base side. The sum of the length of two sides of a triangle is always greater than the length of the third side. \(\ \triangle A B C\) is equilateral and \(\ \triangle D E F\) is isosceles, so they are not the same exact shape. Find the length of perpendicular from the opposite vertex to the side whose length is 13 cm. Obtuse Triangle: One of the angles is greater than 90 degrees. To solve the triangle we need to find side a and angles B and C. DEF ABC Side length of a triangle. The perimeter of any triangle is equal to the sum of all its sides. Input 3 triangle side lengths (A, B and C), then click "ENTER". Jul 30, 2024 · Let ⊿ABC be a right-angled triangle having sides, a and b, forming the right angle, equal to 3 and 4, respectively. Question 5. Multiply it by √3 ≈ 1. It is a special case of an acute triangle (all angles less than 90 degrees). Python program to input length of three sides of a triangle Then check if these sides will form a triangle or not; 10. Isosceles triangles are typically considered to have exactly two sides of equal length. Isosceles triangle. A triangle is a simple polygon with 3 sides, 3 interior angles, and 3 vertices that are joined with each other and it is denoted by the symbol . a = 33. Here is a simple visual argument. a=3 β=25 γ=45 triangle calc if we know the side and two angles. The sum of two sides of a triangle is greater than the median drawn from the vertex, which is common. (Note: 12 is the height, not the length of the left-hand side) For a right-angled triangle, follow these steps to calculate the length of a side, \(x\), when another side and an angle Ɵ is given: Label the two sides that contain information in the diagram The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. Classification of Triangles Based on Side Lengths. Type of Triangle by Lengths of Sides Description; Isosceles. A triangle has sides 5 c m , 12 c m and 13 c m . 25 × √( (a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c) ) Area = 0. Jun 7, 2022 · Given two sides of a triangle s1 and s2, the task is to find the minimum and maximum possible length of the third side of the given triangle. Types of Triangles Based on Sides. Jul 15, 2022 · The sides of triangles are 10 + x^2 , 10 + x^2 , 20 - 2x^2 , if the area of the triangles is maximum asked Jun 29, 2022 in Mathematics by Tanishkajain ( 43. one length, and; one angle (apart from the right angle). Any The perimeter of a triangle is the sum of its sides and there are three sides in a triangle. Solution: Suppose the side length is a. Each of its angles is 60 degrees. The task is to find the number of acute triangles, obtuse triangles, and right triangles separately that can be formed from the given array. DF || AC. Scalene. (5, 3, 4), (7, 1, 3), (3, 5, 3) A triangle has sides of lengths 12, 14, and 19. Triangle is an important concept which is taught in most of the classes like Class 7, Class 8, Class 9, Class 10 and in Class 11. Trigonometry. The hypotenuse of the right triangle is the side opposite the right angle, and is the longest side. For example, the perimeter of a triangle with sides a = 3 cm, b = 2 cm and c = 4 cm can be calculated as follows: perimeter_SSS = a + b+ c. Triangle. Equilateral Triangle. This calculator will determine whether those 3 sides will form an equilateral, isoceles, acute, right or obtuse triangle or no triangle at all. For any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two other sides. To find the missing side length: Fill in the angle, γ = 90 ° \gamma = 90° γ = 90°. Aug 25, 2013 · Use a series of nested if / else statements to determine if the triangle having side-lengths as set by the user is an EQUILATERAL, ISOSCELES, or SCALENE triangle Triangles have many types based on the length of the sides and the angles. In fact, in most instances, a right triangle would be a scalene triangle. Given a triangle with angles and opposite sides labeled as in Figure \(\PageIndex{6}\), the ratio of the measurement of an angle to the length of its opposite side will be equal to the other two ratios of angle measure to opposite side. Always look out for a side-to-hypoteneuse ratio of 3/5 or 4/5, or a side-to-side ratio of 3/4, in any right triangle, so that you may solve such triangles rapidly. Print -1 if it is not possible to make a triangle with the given side lengths. DE || BC. The basic formula that is used to calculate the median is, \(m_{a}=\sqrt{\frac{2 b^{2}+2 c^{2}-a^{2}}{4}}\); where the median of the triangle is m a, the sides of the triangle are a, b, c, and the median is formed on side 'a'. Jan 6, 2024 · Given two sides of a triangle s1 and s2, the task is to find the minimum and maximum possible length of the third side of the given triangle. Scalene Triangle. Dec 15, 2024 · Congruent triangles have corresponding sides of equal length and corresponding angles of equal measure. May 4, 2020 · If you know the length of any 2 sides of a right triangle you can use the Pythagorean equation formula to find the length of the third side. For a right triangle with sides a and b, and a hypotenuse c, the Pythagorean theorem states: a² + b² = c². Equilateral. The median and lengths of sides are related in such a way that “3 times the sum of squares of the length of sides = 4 times the squares of medians of a triangle. kasandbox. The triangle inequality theorem states that, in a triangle, the sum of lengths of any two sides is greater than the length of the third side. Using Perimeter Formula. The third side is often referred to as the base. It is the total length of any triangle. If the only unknown side is the base side b, our steps depend on what information we have. Scalene: It’s a triangle with 3 sides of differing lengths. Acute Triangle: All three angles are less than 90 degrees. If you're seeing this message, it means we're having trouble loading external resources on our website. Free Triangle Sides & Angles Calculator - Calculate sides, angles of a triangle step-by-step Width & Length; Square. Also note that this is proportionally a 3/4/5 right triangle, which is very common. The area of a triangle can be calculated using the following equation: Therefore, if equals the length of a side: A length of the side equals 2x: Apr 18, 2024 · You can calculate the area of an obtuse triangle using every typical equation for a triangle area. Enter the length of side, a = 3 a = 3 a = 3. The perimeter of an equilateral triangle with side length a is 3a. a=3 β=25 T=12 triangle calc, if know side, angle, and area of a triangle. Similarly, b + c > a, and a+ c > b. This calculator computes side length of a triangle given two sides and angle between them (cosine law) The longest side of the triangle is opposite its biggest angle, and the side opposite the smallest angle is the shortest side of the triangle. What Are the Side Lengths of a 30-60-90 Triangle? The sides of a 30-60-90 triangle have a set pattern. Jul 18, 2024 · The length of each side is 10 cm. The law of cosines states that the square of the length of the third side (C) is equal to the sum of the squares of the lengths of the For a right-angled triangle, follow these steps to calculate the length of a side, \(x\), when another side and an angle Ɵ is given: Label the two sides that contain information in the diagram This calculator calculates for the length of one side of a right triangle given the length of the other two sides. 3. All sides and angles are of different lengths and cos θ = Adjacent Side Hypotenuse. Dec 26, 2024 · Note: LAW OF SINES. Equilateral: It’s a triangle with 3 sides of equal length. 3a = 99. Example 2: The lengths of the two sides of a triangle ABC are 10 units and 9 units and the angle between them is 47°. Python program to input 3 sides of a triangle and print whether it is an equilateral scalene or isosceles triangle Equilateral triangle formulas. This means we are given two angles of a triangle and one side, which is the side adjacent to the two given angles. a = 12. Scalene: It's a triangle with sides of differing lengths. How to find the radius of the circle circumscribing the three vertices and the inscribed circle radius? circumcircle radius = 2 × h / 3 = a × Choose "Solve the Triangle" from the topic selector and click to see the result in our Trigonometry Calculator! Examples-Solve the Triangle . Isosceles Triangle: An isosceles triangle has two sides of equal length and one side of a different length. Heron's formula In Heron's formula, a, b, and c represent the lengths of the sides of the triangle, and s is the semiperimeter: Jul 30, 2024 · Simply use the subpart for the area of a triangle with 3 sides - as you know, every side has the same length in an equilateral triangle. Basic Python Program Examples. A=25 C=80 b=22 A=35 C=26 a=10 a=3 C=90 c=5 how to enter right-angled triangle. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. So Equilateral triangles An equilateral triangle has all sides equal in length and all interior angles equal. Jul 30, 2024 · Whether you have three sides of a triangle given, two sides and an angle or just two angles, this tool is a solution to your geometry problems. As all the three angles are equal, the triangle is an equilateral triangle. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation. There are three special names given to triangles that tell how many sides (or angles) are. There are many proofs of the Pythagorean theorem. org are unblocked. 2. Hello, World! Add Two In order to find the missing side of a right triangle you must use one of two things: 1. With this 30 60 90 triangle calculator, you can solve the measurements of this special right triangle. It's possible to calculate that area also in the angle-side-angle or side-angle-side version - you probably remember that every angle in the equilateral triangle is equal to 60 degrees (π/3 rad). Feb 1, 2024 · Scalene Triangle. We know that the sides of an equilateral triangle have the same measure. Therefore there is no "largest" or "smallest" in this case. We have a = 10, b = 9, and angle C = 47°. Calculator Use This calculator solves the Pythagorean Theorem equation for sides a or b , or the hypotenuse c . Isosceles: It’s a triangle with 2 sides of equal length. The length of the midsegment is half the length of the third side. Multiply the result by the length of the remaining side to get the length of the altitude. Without Using The Calculator When given 3 triangle sides, to determine if the triangle is acute, right or obtuse: 1) Square all 3 sides. Input Format; The TRIANGLES table is described as follows: What is the length of the shortest side of the triangle if its perimeter is 24 cm? Q. A right triangle has two sides perpendicular to each other. Does the sum of the lengths of two sides of a triangle property apply to all triangles? Ans: Yes, the property of the sum of the lengths of two triangle sides applies to all triangles. If a given triangle is not a right angle triangle, then the length of the remaining two sides of the triangle can be calculated using the sine law given by the formula-sin A a = sin B b = sin C c. Jan 7, 2025 · This Pythagorean theorem calculator will calculate the length of any of the missing sides of a right triangle, provided you know the lengths of its other two sides. a, b and c are sides of the triangle opposite to angles A, B and C Depending upon the length of sides and measure of angles, the triangles are classified into different types of triangles. What is the sum of the lengths of the sides of any figure called? Ans: The sum of the lengths of the sides of any figure is called the perimeter. If we Isosceles Triangle: It has two sides of equal length, and the angles opposite those sides are also equal. e. An isosceles triangle is a triangle that has at least two sides of equal length. Aug 24, 2023 · Break the equilateral triangle in half, and assign values to variables a, b, and c. No side will be equal in length to any of the other sides in such a The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. Is it a Right angled triangle? The midsegment of a triangle is always parallel to the third side of the triangle. Equilateral triangle: When all three sides have the same length, the triangle is considered to be an equilateral triangle. Enter the length of any two sides and leave the side to be calculated blank. ASA. EF || AB. That's it! The result is the height of your triangle! Classifying Triangles. An isosceles triangle has two sides of equal length, and one side that is either longer or shorter than the equal sides. ngbn zvxi lxakte crotqfr oaory nrwn uaaoxq xhjf xvyqn ypdtryg