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Euclidean 2Dhard
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In a triangle ABCABCABC, the distance from the orthocenter HHH to the side BCBCBC is ha′h_a'ha′​. If the side BC=a=10BC=a=10BC=a=10 and the circumradius is R=8R=8R=8, what is the length of the segment AHAHAH?