Equilateral Triangle Area

Equilateral triangle is the triangle in which all the 3 sides are equal in measure. Since the length of the sides are equal to each other, according to the triangle property, all the angles in the triangle are also equal to each other. Hence in an equilateral triangle, all the sides and the angles are equal to each other. The area of an equilateral triangle is given by the formula, Area = √3/4 * s² where‘s’ is the side of the triangle.

Example 1: If the side of an equilateral triangle is 4m, then what is the area of the triangle?

Given the length of the side of the equilateral triangle, s = 4m

Area of an equilateral triangle, A = = √3/4 * s² where ’s’ is the side

Hence we get: Area of the given equilateral triangle, A = √3/4 * 4²

This implies: Area, A = √3/4 * 16 ==> Area = 6.93m² (approximately)

Therefore the area of the given equilateral triangle, A = 6.93m²

Example 2: If the side of an equilateral triangle is 7cm, then what is the area of the triangle?

Given the length of the side of the equilateral triangle, s = 7cm

Area of an equilateral triangle, A = = √3/4 * s² where’s’ is the side

Hence we get: Area of the given equilateral triangle, A = √3/4 * 7²

This implies: Area, A = √3/4 * 49 ==> Area = 21.2cm² (approximately)

Therefore the area of the given equilateral triangle, A = 21.2cm²


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Equilateral Triangle Area

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