Question

What is the area of a triangle with vertices at (–2, –1), (4, –1), (6, 5)?

A. 6 square units
B. 9 square units
C. 18 square units
D. 36 square units

Answer 1

C).18 square units

Explanation:

Answer 2

C. 18 square units

Explanation:

The bottom edge is horizontal, so its length is easily determined to be 6 by subtracting one end-point x-coordinate from the other.

Similarly, the height is easily determined to be 6, as that is the difference between the y-values of the base line and the opposite vertex.

The area is half the product of these dimensions:

A = (1/2)bh = (1/2)(6 units)(6 units) = 18 square units