Geometry

Question Analysis

The main focus is to find the lengths of each side of the triangle using the distance formula and then sum them to get the perimeter. For vertical or horizontal sides, we can use simple coordinate differences; for non - vertical and non - horizontal sides, the distance formula is needed.

Key Concept Explanation

The distance formula between two points  and  is . For a vertical side (), the length is , and for a horizontal side (), the length is . The perimeter of a triangle .

Step - by - Step Solution

1. Length of the side between  and :

Since  and  (vertical side), the length is

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