Solve the following problems:
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then what is the area of the triangle?
According to the Question,
a√2 = 12√2
⇒ a = 12 cm
So, Perimeter of Square = (4 × 12 ) = 48 cm
So, Each sides of Triangle = 13 of 48 = 16 cm
Area of Triangle = 12 × 16 × 8√3 = 64√3 (Ans)