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Problem 1 of RMO 2007 (Regional Mathematical Olympiad-India)

Source: Triangle and its angle bisector, altitude

September 13, 2009
trigonometrygeometryrectangleangle bisectorgeometry unsolved

Problem Statement

Let ABC ABC be an acute-angled triangle; AD AD be the bisector of ∠BAC \angle BAC with D D on BC BC; and BE BE be the altitude from B B on AC AC. Show that ∠CED>45∘. \angle CED > 45^\circ . [weightage 17/100]
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