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Problem of the Day #219: Sum of the Inradii October 24, 2011

Posted by Saketh in : potd , trackback

Triangle $ABC$ has a right triangle at $B$. We draw the altitude from $B$ to the hypotenuse, and we label its foot $H$. If $AH = 16\sqrt{\pi}$, find the sum of the inradii of the triangles $ABC$, $BAH$, and $BCH$.

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