Difference between revisions of "2002 AMC 10B Problems/Problem 22"
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Revision as of 01:01, 30 December 2008
Problem
Let be a right-triangle with . Let and be the midpoints of the legs and , respectively. Given and , find .
Solution
Let and . By the Pythagorean Theorem, and We wish to find . So, we add the two equations, multiply by , and take the squareroot to get