Question

plot and connect the points listed below. when you are done, find the area of the triangle.
a(-3, -2), b(-3, 4), c(3, -2)
click on the graph to plot a point. click a point to delete it.
when you are done, press \graph figure\ to see the result.

Explanation:

Step1: Identify base and height

Points \( A(-3, -2) \) and \( C(3, -2) \) have the same \( y \)-coordinate, so the distance between them (base) is \( |3 - (-3)| = 6 \). Points \( A(-3, -2) \) and \( B(-3, 4) \) have the same \( x \)-coordinate, so the distance between them (height) is \( |4 - (-2)| = 6 \).

Step2: Calculate area of triangle

The formula for the area of a triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \). Substituting base \( = 6 \) and height \( = 6 \), we get \( \frac{1}{2} \times 6 \times 6 = 18 \).

Answer:

18