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Right triangle ABC has side lengths AB=1, BC = 3, and AC = \sqrt{10}.  Square XYZW is inscribed in triangle ABC with X and Y on \overline{BC}, W on \overline{AC}, and Z on \overline{AB}.  What is the area of the square?

 
 Sep 4, 2026
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The answer is 13/16.

 Sep 4, 2026

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