Geometry

Question Analysis

The main focus is on using the coordinates of the triangle's vertices to identify the base and height, then applying the formula for the area of a triangle .

Key Concept Explanation

The area of a triangle is calculated by the formula , where  is the base and  is the height. In a coordinate plane, when two points have the same  - coordinate,  the vertical distance between them can be the height. When two points have the same  - coordinate, the horizontal distance between them can be the base.

Step - by - Step Solution

1. Notice that points  and  have the same  - coordinate. The base  of the triangle is the absolute value of the difference in their  - coordinates: .

2. Points  and