Question

You use four stakes and string to mark the foundation of a house. You want to make sure the

foundation is rectangular. A friend measures the four sides to be 30 feet, 30 feet, 72 feet and 72
feet. He says these measurements prove that the foundation is rectangular. Is he correct?
Explain why or why not? If the friend is not correct, what additional information would be
needed to show that the house is rectangular?

Answer 1

• The friend is not correct

Explanation:

Side measures is not sufficient to state the figure is rectangle.

It could be a parallelogram too.

To ensure it is rectangle you need to measure the diagonals as well. The diagonals should be equal, then the four formed triangles will be congruent.