Question

The area of a quad. is 342 sq.m The perpendiculars from two of its opposite vertices to the diagonal are 12 m and 12m. what is the length of the diagonal?

Answer 1

Hey Friend,
The diagonal divides the quadrilateral into two triangles whose areas can be found out using the formula, Area = 1/2 x base x height
Here, the heights are the perpendiculars and the base is diagonal(d).
Area of quad = area of 1st triangle + 2nd triangle
342 = 1/2 x 12 x d + 1/2 x 12 x d
Solving, d = 28.5