Question

A square and an equilateral triangle have equal perimeters. If the dia final of the square is 12, then the area of the triangle is?

Answer 1

Diagonal of a square = side (root 2)

12 (root 2) = side (root 2)

Side = 12cm

P of square = 12 x 4 = 48

P of triangle = 3 x a = 48

                    => a = 16

A of equilateral triangle = (root 3)/4 (a^2)

                                      = (root 3) 64

                                      = 64