Question

A lot is in the shape of a right triangle. The shorter leg measures 90 meters. The hypotenuse is 30 meters longer than the length of the longer leg. How long is the longer leg?

Answer 1

L=longer leg
By Pythagoras theorem:
90²+L²=(L+30)²
Solve for L.

Answer 2

8100+L²=L²+60L+900