Question

A triangle has vertices P(4, 1), Q(4, 5), and R(7, 5). What is the area of ΔPQR? a. 4 square units b. 6 square units c. 8 square units d. 12 square units

Answer 1

The area of triangle PQR is 6 square units.

The base of the triangle is the horizontal distance between points Q and R, which is 7 - 4 = 3 units.

The height of the triangle is the vertical distance between point P and the base QR, which is 5 - 1 = 4 units.

The area of a triangle is calculated as (1/2) * base * height.

Therefore, the area of ΔPQR is (1/2) * 3 * 4 = 6 square units.

Therefore, option b) 6 square units is the correct answer.