Answer:
The triangle's area is 12 square units.
Step-by-step explanation:
We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).
Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".
Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).
Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:
[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]
So the triangle's area is 12 square units.
