Calculating the Perimeter of a Triangle

Clara has a triangular piece of land with vertices at the points A(1, 2), B(5, 6), and C(1, 6).

She wants to build a fence around the entire perimeter of the triangle. To find out how much fencing she needs, Clara needs to calculate the lengths of the sides of the triangle.

What is the total length of the fence that Clara needs for her triangular land?