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Advanced Geometric Area Ratios

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Explanations 1

A Nice Little Area Ratio Lemma Observe the high quality diagram above. We see that △AEB\triangle{AEB}△AEB and △BEC\triangle{BEC}△BEC share the same height (that height being the…
By Evan Fang, Alex Federspiel

Problems 1

Let ABCABCABC be a triangle. The angle bisector of ∠B\angle B∠B intersects ACACAC at point PPP, while the angle bisector of ∠C\angle C∠C intersects ABABAB at a point QQQ. Suppos…