The Hidden Rectangle In the diagram below, AABC is isosceles with base BC = 8 and height 6. The points P,Q are midpoints of AC, AB respectively. The points R and S are on side BC such that BR: RS: SC = 1:2:1. Perpendiculars are drawn from P and R to SQ meeting at X and Y respectively. Is enough information given to find the length XY? If so what is the length XY? B R

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