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.

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


12