MathDB
2023 Geometry #4

Source:

April 12, 2023

Problem Statement

Let ABCDABCD be a square, and let MM be the midpoint of side BCBC. Points PP and QQ lie on segment AMAM such that ∠BPD=∠BQD=135∘\angle BPD=\angle BQD=135^\circ. Given that AP<AQAP<AQ, compute AQAP\tfrac{AQ}{AP}.
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