Geometry

Question Analysis

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

Key Concept Explanation

The area of a triangle is given by the formula , where  is the length of the base and  is 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  (distance between  and ) is .

2. Determine the height:

The  - coordinate of

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