Geometry Question

Question

Molly is putting a triangular sandbox in her backyard. She draws the plan for the sandbox on a coordinate plane. Vertex A is at (−4,6)(−4,6), Vertex B is at (6,1)(6,1), and Vertex C is at (0,−9)(0,−9). Calculate the lengths of the sides and put them in order from shortest to longest.

1. Side BC
2. Side AB
3. Side AC

Answer 1

Use the distance formula.

Length of BC = √ [(6-0)² + (1-(-9))²] = √136 = 2√34

Do the other two sides in a similar manner.