Question

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then area of the triangle is 

(a) 24√2 cm² (b) 24√3 cm² (c) 48√3 cm² (d) 64√3 cm²

Answer 1

 (d) Diagonal of a square =12√2 cm

Side if square= 2(DC)² = (12√2)²

DC²= 144x2/2 = DC= 12 cm

 Perimeter of square = 4(12) cm = 48 ​cm

 Perimeter of equilateral triangle = 3a where a is side of the triangle

a= 48/3= 16 cm