Question

What is the area of the triangle

Answer 1

Answer:

• 3 unit²

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.