Question

Kendra wrote the Pythagorean relationship as r ^ 2 = p ^ 2 + q ^ 2 for the triangle shown. Is she correct? Explain.

Answer 1

In the Pythagorean relationship,

The square of the hypotenuse is equal to the sum of the squares of the legs of the right angle

From the given figure

The hypotenuse is P

The two legs of the right angle are q and r

Then the Pythagorean relationship should be

`p^2=r^2+q^2`

Then she is not correct because she put r as the hypotenuse of the triangle and p, q are the legs of the right angle.