Geometry

Question Analysis

The main focus of this question is to find the perimeter of a triangle given the coordinates of its vertices. This requires using the distance formula between two points to calculate the lengths of each side of the triangle and then summing them up.

 

Key Concept Explanation

The distance formula between two points and is .

The perimeter of a triangle is the sum of the lengths of its three sides.

 

Step-by-Step Solution

1. Let the points be , , and .

Calculate the distance between and :

Here .

Substitute into the distance formula: .

Calculate the distance between and :

Here

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