# Algebra

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?

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

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2. 8100+L²=L²+60L+900

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