Triangle Perimeter Calculation

In a coordinate plane, a triangle has vertices at the points A(2, 3), B(8, 3), and C(5, 7). Calculate the area of the triangle, and determine which of the following represents its perimeter.

Use the distance formula to find the lengths of the sides: the length between two points, $(x_1, y_1)$ and $(x_2, y_2)$, is given by:

$$d = ext{sqrt}((x_2 - x_1)^2 + (y_2 - y_1)^2)$$

After calculating the lengths of the sides of triangle ABC, add them together to determine the perimeter.