Solve problem. See EXAMPLE.Broken Bamboo Problems involving the Pythagorean theorem have a...

Solve problem. See EXAMPLE.

Broken Bamboo Problems involving the Pythagorean theorem have appeared in mathematics for thousands of years. This one is taken from the ancient Chinese work, Arithmetic in Nine Sections:

There is a bamboo 10 ft high, the upper end of which, being broken, reaches the ground 3 ft from the stem. Find the height of the break.

EXAMPLE SOLVING A PROBLEM INVOLVING THE PYTHAGOREAN THEOREM