Question

finding area draw the figure in a coordinate plane and find its area.

1. triangle defined by r(-2, -3), s(6, -3), and t(5, 4)

Explanation:

Step1: Identify base length

Points \( R(-2, -3) \) and \( S(6, -3) \) have the same \( y \)-coordinate, so the distance between them (base) is \( |6 - (-2)| = 8 \).

Step2: Find height

The height is the vertical distance from \( T(5, 4) \) to the line \( RS \) (which is \( y = -3 \)). So height \( h = |4 - (-3)| = 7 \).

Step3: Calculate area

Area of triangle is \( \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \times 7 \).

Answer:

28