Question

area = ____ square units

Explanation:

Step1: Identify vertices coordinates

The vertices are $X(-10, -3)$, $Y(6, 9)$, $Z(-10, 9)$.

Step2: Calculate base length

Base is $YZ$, horizontal distance: $6 - (-10) = 16$

Step3: Calculate height length

Height is vertical distance between $X$ and $YZ$: $9 - (-3) = 12$

Step4: Compute area of triangle

Area formula: $\frac{1}{2} \times \text{base} \times \text{height}$
$\frac{1}{2} \times 16 \times 12 = 96$

Answer:

96