Question

the perimeter of an equilateral triangle is 75 cm find the area of triangle.​

Answer 1

Answer:

Area of an equilateral triangle = 270.625 cm²

Step-by-step explanation:

An equilateral triangle has all 3 sides equal.

∴ Side 1 = Side 2 = Side 3 = x

Perimeter of an equilateral triangle = 3x

∴ 75 = 3x

∴ x = 75/3

∴ x = 25 cm

∴ Side of the equilateral triangle = 25 cm

Area of an equilateral triangle = (√3/4) x (side)²

∴ Area of an equilateral triangle = (√3/4) x (25)²

∴ Area of an equilateral triangle = (√3/4) x 625

∴ Area of an equilateral triangle = √3 x 156.25

∴ Area of an equilateral triangle = 1.732 x 156.25

∴ Area of an equilateral triangle = 270.625 cm²