MathDB

2

Part of 2000 Poland - Second Round

Problems(1)

Show inequality in triangle

Source: 51 Polish MO 2000 Second Round - Problem 2

4/23/2018
Bisector of angle BACBAC of triangle ABCABC intersects circumcircle of this triangle in point D≠AD \neq A. Points KK and LL are orthogonal projections on line ADAD of points BB and CC, respectively. Prove that AD≥BK+CLAD \ge BK + CL.
geometrycircumcircleGeometry inequalitygeometric inequalityPoland