Geometry

Question Analysis

The main focus is recognizing the figure as a triangle and using the formula  (where  is the base and  is the height) to calculate its area. We need to determine the base and height based on the coordinates of the vertices , , and .

Key Concept Explanation

The area formula for a triangle  is based on the concept that a triangle's area is half of the product of its base length and the perpendicular height from the opposite vertex to the base.

Step - by - Step Solution

1. Determine the base:

Points  and  have the same  - coordinate. The length of the base  (the distance between  and ) is .

2. Determine the height:

The  - coordinate of