MathDB

2

Part of 2018 Dutch BxMO TST

Problems(1)

triangle, pairwise coprime sidelengths, segment related to tangent integer

Source: Dutch BxMO TST 2018 p2

8/2/2019
Let △ABC\vartriangle ABC be a triangle of which the side lengths are positive integers which are pairwise coprime. The tangent in AA to the circumcircle intersects line BCBC in DD. Prove that BDBD is not an integer.
geometryIntegerSides of a trianglecoprime