Chapter E, Problem 11.5EX

To determine

To find the height of the triangle.

Answer to Problem 11.5EX

Option (b)

Explanation of Solution

Given information: The area of parallelogram and the triangle are equal. The base and the height of the parallelogram are 12 and 9 respectively. The base of the triangle is 36.

Concept used:

  $\begin{array}{l}\text{Area}\text{of}\text{parallelogram}=(\text{Base})\times (\text{height})\\ \text{Area}\text{of}\text{triangle}=\frac{1}{2}\times (\text{Base})\times (\text{height})\end{array}$

According to the situation,

  $\begin{array}{l}\text{Area}\text{of}\text{parallelogram}=\text{Area}\text{of}\text{triangle}\\ (\text{Base})\times (\text{height})=\frac{1}{2}\times (\text{Base})\times (\text{height})\\ 12\times 9=\frac{1}{2}\times 36\times \text{height}\\ \text{height}\text{=}\text{6}\end{array}$

Hence, the height of the triangle is 6 units .