MathDB

2

Part of 2007 Silk Road

Problems(1)

3 circles, incircle, circle tangent to incircle passing through BC, A- excircle

Source: SRMC 2007

9/2/2018
Let ω\omega be the incircle of triangle ABCABC touches BCBC at point KK . Draw a circle passing through points BB and CC , and touching ω\omega at the point SS . Prove that SKS K passes through the center of the exscribed circle of triangle ABCA B C , tangent to side BCB C .
geometryincircletangent circlesexcircle