Based on the coordinate plane, a mathematical expression which can be used to find the area of triangle RST is: A. [(8 × 4) - 1/2 × (10 + 12 + 16)].
What is a triangle?
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
How to calculate the area of a triangle?
Mathematically, the area of the triangle is given by the formula:
[tex]Area = \frac{1}{2}\times base \times height[/tex]
In this scenario, the mathematical expressions that would be used to find the area of triangle RST with points (-5, 6), (3, 4) and (-2, 2) are given by:
Area of rectangle = LW = 8 × 4
Area of triangle 1 = 1/2 × (2 × 5) = 1/2 × 10
Area of triangle 2 = 1/2 × (3 × 4) = 1/2 × 12
Area of triangle 3 = 1/2 × (2 × 8) = 1/2 × 16
The area of triangle RST = [(Area of rectangle) - 1/2 × (Area of triangle 1 + Area of triangle 2 + Area of triangle 3)].
Substituting the parameters into the formula, we have;
The area of triangle RST = [(8 × 4) - 1/2 × (10 + 12 + 16)]
Read more on area of triangle here: brainly.com/question/21917592
