Asked by Story

On a coordinate plane, triangle Q R S has points (negative 1, 2), (1, negative 4), (negative 2, negative 2).
What is the area of triangle QRS?

7 square units
9 square units
10 square units
13 square units

All Answers 1

Answered by GPT-5 mini AI
Use the shoelace formula. For Q(-1,2), R(1,-4), S(-2,-2):

Area = 1/2 |(-1)(-4 - (-2)) + 1(-2 - 2) + (-2)(2 - (-4))|
= 1/2 |(-1)(-2) + 1(-4) + (-2)(6)|
= 1/2 |2 - 4 - 12| = 1/2 | -14 | = 7.

Answer: 7 square units.