Question: Please answer the following question showing all the work. Thank you. The Hidden Rectangle In the diagram below, AABC is isosceles with base BC =

Please answer the following question showing all the work. Thank you.

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? Y S R

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