Geometry

Question Analysis

The main focus is identifying the base and height of the triangle from the given vertices' coordinates and applying the formula  to calculate the area.

Key Concept Explanation

The area of a triangle is , 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  is the absolute value of the difference in their  - coordinates: .

2. Consider points

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