Question

The length of the hypotenuse (x) is an irrational number between 6 and 8. Both legs have measured that are whole numbers. What is one possible set of measures for the sides of the right triangle

HELP ME PLEASE !

Answer 1

Explanation:

Since 6 < x < 8, we have 36 < x² < 48.

Let a and b be the sides of the right triangle.

a²/b² could be 1², 2², 3², 4², 5² and so on.

A possible set of measures is 6 and 2.

This will give x² = 6² + 2² = 40, x = √40 which is irrational.