MathDB
Determine the ratio AD/DC

Source: Baltic Way 2007

November 30, 2010
ratiogeometrygeometry proposed

Problem Statement

The incircle of the triangle ABCABC touches the side ACAC at the point DD. Another circle passes through DD and touches the rays BCBC and BABA, the latter at the point AA. Determine the ratio ADDC\frac{AD}{DC}.