MathDB

1

Part of 2007 India Regional Mathematical Olympiad

Problems(1)

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

Source: Triangle and its angle bisector, altitude

9/13/2009
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]
trigonometrygeometryrectangleangle bisectorgeometry unsolved