Chapter 1.8, Problem 38E

To determine

To calculate: The area of the triangle shown in the figure,

  

Answer to Problem 38E

The area of the triangle is $\text{9 sq}\text{. units}$ .

Explanation of Solution

Given information:

The figure,

  

Formula used:

Area of a triangle is half into the product of its base and height. So, if b is the base and h is its height, area of triangle is calculated as,

  $\text{A}=\frac{1}{2}\cdot b\cdot h$

Calculation:

Consider the given figure,

  

In the above figure, it is observed that the base of triangle is measured as 6 units and its height is 3 units.

Recall that the area of a triangle is half into the product of its base and height. So, if b is the base and h is its height, area of triangle is calculated as,

  $\text{A}=\frac{1}{2}\cdot b\cdot h$

Apply it,

  $\begin{array}{c}\text{A}=\frac{1}{2}\cdot b\cdot h\\ =\frac{1}{2}\cdot 6\cdot 3\\ =\frac{1}{2}\cdot 18\\ =9\text{ sq}\text{. units}\end{array}$

Thus, area of the triangle is $9\text{ sq}\text{. units}$ .