Respuesta :

We are given the area of an isosceles trapezoid which is 72 m^2 and its diagonals are perpendicular. We need to find the length of a diagonal.

The formula for the area of an isosceles trapezoid is:

A = 1/2 (b1+b2) h

Solve for the sides and the bases of the trapezoid and then solve for the length of the diagonal, 

d = √((b1 * b2) + h^2)