Geometry

Question Analysis

The main focus is using the coordinates of the vertices to find the base and height of the triangle, 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 share the same  - coordinate,  the difference in their  - coordinates gives the vertical length (height), and when two points share the same  - coordinate, the difference in their  - coordinates gives the horizontal length (base).

Step - by - Step Solution

1. For points  and  with the same  - coordinate, the height  is

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