What is an Equilateral Triangle

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There are different types of triangles based on the sides and the angles of the triangle, and one such type of a triangle is the Equilateral triangle. An equilateral triangle is a triangle which has all equal sides, which implies all the 3 sides are equal in length. Because the sides are equal, the 3 angles are also equal to each other. Since the sum of all the angles in any triangle must add up to 180°, hence each angle in an equilateral triangle measures 60°.

Example 1: What is the area of an equilateral triangle which has the side length equal to 5m?

Given the side of an equilateral triangle, s = 5m

An equilateral triangle has all the 3 sides equal to each other in length. Hence all the sides are equal to 5m.

Area of an equilateral triangle, A = √3/4 * s2

Area of the equilateral triangle, A = √3/4 * (5m) 2

Area, A = √3/4 * 25 = 10.8m2

Hence area of the given equilateral triangle, A = 10.8m2

 Example 2: What is the area of an equilateral triangle which has the side length equal to 6m?

Given the side of an equilateral triangle, s = 6m

An equilateral triangle has all the 3 sides equal to each other in length. Hence all the sides are equal to 6m.

Area of an equilateral triangle, A = √3/4 * s2

Area of the equilateral triangle, A = √3/4 * (6m) 2

Area, A = √3/4 * 36 = 15.6m2

Hence area of the given equilateral triangle, A = 15.6m2
 
 
 

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