MathDB
Inequality in a right triangle

Source: INMO 2007 Question 1

November 2, 2009
inequalitiestrigonometryfunctiongeometry unsolvedgeometry

Problem Statement

In a triangle ABC ABC right-angled at C C , the median through B B bisects the angle between BA BA and the bisector of B \angle B. Prove that 52<ABBC<3 \frac{5}{2} < \frac{AB}{BC} < 3