Geometry

Question Analysis

The main focus is identifying the triangle formed by the points , ,  and using the formula  to calculate its area. We need to determine the base and height from the coordinates.

Key Concept Explanation

The area of a triangle is given by , where  is the length of the base (a side of the triangle) and  is the perpendicular height from the opposite vertex to that base.

Step - by - Step Solution

1. Find the base:

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