Chapter 1.4, Problem 66E

To determine

To calculate the base of the triangle.

Answer to Problem 66E

12 inches

Explanation of Solution

Given:

Height of the triangle: 8 feet

Area of the triangle: 48 square feet

Formula used:

Area of a triangle $=\frac{1}{2}(b\times h)$

Calculation:

  $\begin{array}{l}\text{Area of a triangle}=\frac{1}{2}(b\times h)\\ \Rightarrow 48=\frac{1}{2}(b\times 8)\\ \Rightarrow 48\times 2=8b\\ \Rightarrow 96=8b\\ \Rightarrow b=12\end{array}$

Conclusion:

Therefore, the base of the triangle is 12 inches.