Chapter 11.1, Problem 4BCYP

To determine

Find x .

Answer to Problem 4BCYP

  $x=21\text{ inches}$

Explanation of Solution

Given:

Area of the triangle is 357 square inches.

  

Formula Used:

Area of a triangle with base b and height h is :

  $A=\frac{1}{2}bh$

Calculation:

The base of given triangle is 34 inches.

The height is x inches.

  $\begin{array}{l}A=\frac{1}{2}bh\\ \Rightarrow 357=\frac{1}{2}34x\mathrm{...........}[A=357,b=34,h=x]\\ \Rightarrow 357=17x\\ \Rightarrow x=\frac{357}{17}\mathrm{...........}[\text{divide each side by 17]}\\ \Rightarrow x=21\text{ inches}\end{array}$