Difference between revisions of "2021 GMC 12B Problems/Problem 13"
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Latest revision as of 18:59, 6 March 2022
Problem
Let and be two legs of a right triangle with hypotenuse . Find the greatest possible value of
Solution
To maximize is to maximize and . Thus, . Applying the Pythagorean Theorem, we get
Evaluating gives .
~pineconee