Question

A triangular face of the roof of the garage has two sides

that are √93 feet in length each and a base of length
186 feet. Is the roof a right triangle? Explain the steps
to take to determine whether the roof forms a right
triangle.

Answer 1

The roof does form a right triangle.

Explanation:

If it is a right triangle then it will obey the Pythagoras Theorem.

Now (√186)^2 = (√93)^2 + (√93)^2

186 = 93 + 93 = 186

So it obeys the theorem and is therefore a right triangle.