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Euclidean 2Dhard
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In triangle ABCABCABC, the side lengths are c=12,a=16,b=20c = 12, a = 16, b = 20c=12,a=16,b=20. Let III be the incenter. If a line parallel to ABABAB passes through III and intersects ACACAC at DDD and BCBCBC at EEE, find the length of DEDEDE.