Answer:
- <u>3 unit²</u>
<u></u>
Explanation:
The figure attached shows the three points, Q(-2,5), R(4,5), and S(-5,4), in a coordinate plane.
The points Q and R have the same y-coordinate, then if you set them as the base of the triangle, the height from S to Q is the altitude:
- Base: 4unit - (-2unit) = 4unit + 2unit = 6 units
- Altitude: 5unit - 4unit = 1 unit
Area of a triangle = base × altitude / 2
- Area of the triangle QRS: 6unit × 1unit / 2 = 3 unit²
That answer does not match either answer choice. But it is the area of a triangle with the given vertices Q,R,S.
If your vertices are others, you can just follow the same procedure: find the base and the altitude and use the formula for the area used above.
