Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.1 - The Law of Sines - Exercise Set - Page 721: 45

Answer

The area of the triangle is $10\text{ sq}\text{.units}$.

Work Step by Step

Consider the given points, $\left( -3,-2 \right),\left( 2,-2 \right),\left( 1,2 \right)$ and sketch the graph. By observing the graph, we see that the base of the triangle is $2-\left( -3 \right)=5\text{ unit}$ and the height is $2-\left( -2 \right)=4\text{ unit}$. Therefore, the area of the triangle is $\begin{align} & A=\frac{1}{2}bh \\ & =\frac{1}{2}\left( 5 \right)\left( 4 \right) \\ & =10 \end{align}$ Hence, the area of the triangle is $10\text{ sq}\text{.units}$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.