on the set of axes below, the vertices of triangle PQR have coordinates P (-6,7) Q (2,1) and R (-1,-3) what is the area of triangle PQR?

Area of ΔPQR = 25 units

Step-by-step explanation:

We will use the following formula to calculate the area of triangle ΔPQR:

A = 1/2 | x₁ (y₂-y₃) + x₂ (y₃-y₁) + x₃ (y₁-y₂) | = 1/2 | (-6 (1+3) + 2 (-3-7) + (-1) ((7-1) | =

A = 1/2 |-6 · 4 + 2 · (-10) + (-1) · 6| = 1/2 | - 24-20-6| = 1/2 | - 50| = 1/2 · 50 = 25

A = 25 units

God with you!