Geometry

Question Analysis

The main focus is using the coordinates of the triangle's vertices to determine the base and height, then applying the triangle area formula .

Key Concept Explanation

The area formula for a triangle is , where  is the length of the base and  is the perpendicular height from the opposite vertex to the base.

Step - by - Step Solution

1. Find the base:

Points  and  have the same  - coordinate. The base  (length of ) is calculated as .

2. Find the height:

The  - coordinate of  (and ) is 8, and the  - coordinate of

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