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2025 SSMO Relay Round 3 Problems/Problem 2

Revision as of 11:44, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T = TNYWR.</math> In triangle <math>ABC,</math> angle <math>C</math> is a right angle. If the median from <math>C</math> has length <math>T,</math> find...")
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Problem

Let $T = TNYWR.$ In triangle $ABC,$ angle $C$ is a right angle. If the median from $C$ has length $T,$ find the maximum possible area of triangle $ABC$.

Solution

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