AABC has AB = BC = 1 and LABC = 90. Points P and Q are...

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AABC has AB = BC = 1 and LABC = 90. Points P and Q are on two sides of the triangle so that PQ cuts ABC into two pieces of equal area. Determine the shortest possible length of PQ. AABC has AB = BC = 1 and LABC = 90. Points P and Q are on two sides of the triangle so that PQ cuts ABC into two pieces of equal area. Determine the shortest possible length of PQ.