Geometry

Question Analysis

The main focus is on determining the base and height of the triangle using the given vertices' coordinates and 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, and 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 height  of the triangle is the absolute value of the difference in their  - coordinates: .

2. Points

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