Geometry

Question Analysis

The main focus is using the coordinates of the vertices to find the base and height of triangle  and then applying the formula  to calculate its area.

Key Concept Explanation

The area of a triangle is given by , where  is the base and  is the height. In a coordinate plane, when two points have the same  - coordinate,  the difference in their  - coordinates gives the length of the base. When finding the height, we calculate the vertical distance from the third point to the line containing the base.

Step - by - Step Solution

1. Since points  and  have the same  - coordinate, the base  of the triangle is .

2. The height

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