Area of an Equilateral Triangle Area of an Equilateral Triangle In geometry, an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°. They are regular polygons, and can therefore also be referred to as regular triangles. Area of an Equilateral Triangle Formula Area of an equilateral triangle is the total space bound inside the equilateral triangle The area of an equilateral triangle is given by the following formula: The area of the equilateral triangle is A = a2( √ 3)/4 Finding Area of an Equilateral Triangle Below are some examples for finding area of an equilateral Example 1: Find the area of an equilateral triangle with side of length 5 cm. Know More About :- Linear Programming Solver
Math.Tutorvista.com
Page No. :- 1/4
Solution: The formula for finding the area of equilateral of triangle is given by, A = (√3)/4 A = (√3)/4 In this step, we need to find the square root of 3 and then divide it by 4, A = 25 x 0.433 A = 10.825 cm2 Example 2: Find the area of an equilateral triangle with side of length 7.5 cm. Solution: The formula for finding the area of equilateral of triangle is given by, A = (√3)/4 A = ( √3 )/4 In this step, we need to find the square root of √3 and then divide it by 4, A = 56.25 ( 0.433) A = 24.35 cm2 Example 3: Find the area of the equilateral triangle with side of length 12.5 cm. Solution: The formula for finding the area of equilateral of triangle is given by, A = (√3)/4 Learn More :- Linear Programming Examples
Math.Tutorvista.com
Page No. :- 2/4
A = ( √3)/4 In this step, we need to find the square root of √3 and then divide it by 4, A = 156.25 x 0.433 A = 67.65 cm2 Area of an Equilateral Triangle Solved Examples Question 1: Find the area of the equliateral triangle, whose side length is 9 cm. Answer: Area = 35.073 cm2 Question 2: Find the area of the equilateral triangle, whose side length is 15 cm. Answer: Area = 97.43 cm2
Math.Tutorvista.com
Page No. :- 4/4
Thank You For Watching
Presentation