Question

what is the area of the triangle whose vertices are x(-5, -1), y(-5, -10), and z(-9, -7)?
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□ units²

Explanation:

Step1: Find length of XY

XY is vertical (same x-coordinate). Length = $|-1 - (-10)| = 9$.

Step2: Find horizontal distance from Z to XY

XY is $x=-5$. Distance from Z(-9,-7) to $x=-5$ is $|-9 - (-5)| = 4$.

Step3: Calculate area

Area = $\frac{1}{2} \times base \times height = \frac{1}{2} \times 9 \times 4 = 18$.

Answer:

18