Question

segment rs is an altitude of triangle pqr. find the area of the triangle.

Explanation:

Step1: Identify base length PQ

From the grid, $P$ is at $(-2,1)$ and $Q$ is at $(6,1)$. The length is $6 - (-2) = 8$.

Step2: Identify height RS length

$S$ is at $(4,1)$ and $R$ is at $(4,-3)$. The length is $1 - (-3) = 4$.

Step3: Calculate triangle area

Use area formula $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$
$\text{Area} = \frac{1}{2} \times 8 \times 4$

Answer:

16