A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12cm, then area of the triangle is

Question

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12 cm, then area of the triangle is

Philoid · Accepted Answer

Let each side of square = and each side of an equilateral triangle =

Perimeter of square = perimeter of an equilateral triangle

…………(1)

Diagonal of square = 12√2 cm

Therefore using Pythagorous theorem:

Therefore substituting value of y in equation (1) we get:

Area of an equilateral triangle = =