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