MathDB

And this is called geometry?!

Source: Baltic Way 2004 Problem 18

November 19, 2004

geometrycircumcircleinequalitiesgeometry proposed

Problem Statement

A ray emanating from the vertex

A

of the triangle

ABC

intersects the side

BC

at

X

and the circumcircle of triangle

ABC

at

Y

. Prove that

\frac{1}{AX}+\frac{1}{XY}\geq \frac{4}{BC}

.

Back to Problems View on AoPS