# Area of Equilateral Triangle

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A triangle is a geometric shape which has 3 sides. An equilateral triangle is a triangle which has all the 3 sides equal to each other. Sum of the angles in a triangle add upto 180°, and in an equilateral triangle since all the sides are equal to each other, their angles are also equal. Area of an equilateral triangle is the region covered inside the triangle bounded by the sides.

Example 1: Calculate the area of the triangle which has side lengths as 5m, 5m, and 5m.

Given the sides of the triangle: 5m, 5m, 5m
All the three sides of the triangle are equal to each other, hence it is an equilateral triangle.
Area of the equilateral triangle, A = √3/4 * s2 where s = side length
The length of the side, s = 5m
Area of the equilateral triangle, A =√3/4 * (5)2
A = √3/4 * 25 = 10.8m2

Hence area of the equilateral triangle, A = 10.8m2

Example 2: Calculate the area of the equilateral triangle which has the length of the side equal to 8m.

Since it’s an equilateral triangle, all the sides are equal to each other.
Area of the equilateral triangle, A = √3/4 * s2 where s = side length
Given the side length of the equilateral triangle, s = 8m
Area of the equilateral triangle, A =√3/4 * (8)2
A = √3/4 * 64 = √3 * 16m2

Hence area of the equilateral triangle, A = 27.7m2