Question

Determine whether each set of numbers can be measure of the sides of a RIGHT triangle. Justify your answer.

10. Clyde makes a triangle using three sticks of lengths 20 inches, 21 inches, and 28 inches. Is the triangle a right trian
Explain.
Glencoe Geometry​

Answer 1

The side lengths cannot belong to a right triangle.

Explanation:

This is a simple case of Pythagorean proof. If this triangle was a right triangle, 20^2 + 21^2 = 28^2. However, this is not the case. 20^2 + 21^2 = 841, which square root is 29.

If you forgot, the Pythagoren Theorem is: a^2 + b^2 = c^2.

Hope this helps!