Question
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 15 cm, 14 cm and 13 cm and the parallelogram stands on the base 15 cm, find the height of the parallelogram.
Solution
For triangle
a = 15 cm b = 14 cm c = 13 cm
Let the height of the parallelogram be h cm. Then, area of the parallelogram
= Base x Height = 15 x h = 15h cm2 According to the question,
Area of the parallelogram
= Area of the triangle
Hence, the height of the parallelogram is 5.6 cm.
