Chapter 12.1, Problem 37S

To determine

To find: the area of the triangle

Answer to Problem 37S

The area of the triangle is $21.6{\text{ in}}^2$ .

Explanation of Solution

Given:

  

Formula used:

The area A of a triangle is $A=\frac{1}{2}b.a$

Calculation:

The objective is to find the area of the given figure.

The given figure is a triangle.

The area A of a triangle is given by

  $A=\frac{1}{2}b.a$

Where b is the base and a is height of the triangle.

The base of the triangle is $b=6$ in.

The height of the triangle is $a=7.2$ in.

The area A of the triangle is

  $\begin{array}{l}A=\frac{1}{2}b.a\\ =\frac{1}{2}\cdot 6\cdot \left(7.2\right)\\ =3\left(7.2\right)\\ =21.6\end{array}$

Conclusion:

Therefore, the area of the triangle is $21.6{\text{ in}}^2$ .