Math CentralQuandaries & Queries


Question from Katie, a student:

the shorter leg of a right triangle measures 2 feet less than the longer leg. the hypotenuse measure 10 feet. find all three sides

Hi Katie,

Suppose the longer leg is $x$ feet long. What is the length of the shorter side? What does Pythagoras tell you is the length of the hypotenuse? But the hypotenuse is 10 feet long. Solve for $x.$


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