Geometry

Question Analysis

The main focus is calculating the perimeter of a triangle using the coordinates of its vertices. It requires applying the distance formula to find the lengths of each side 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 , , and be the vertices.

Calculate the distance between and :

Here . Substitute into the formula: .

Calculate the distance between and