A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base28 cm, find the height of the parallelogram.

Question

Philoid · Accepted Answer

Given,

Area of the parallelogram and triangle are equal

Sides of triangle are 26cm, 28cm and 30 cm.

Semi perimeter of triangle (ACD) =

=

= 42cm

Using Heron’s formula,

Area of =

= =

= 336cm²

Let the height of parallelogram be h,

Now,

Area of parallelogram = Area of triangle

28*h = 336

h =

h = 12cm

Hence, the height of the parallelogram is 12 cm