MathDB

12

Part of 2005 Postal Coaching

Problems(1)

Ratio of radii

Source: Indian Postal Coaching 2005

9/23/2005
Let ABCABC be a triangle with vertices at lattice points. Suppose one of its sides in n\sqrt{n}, where nn is square-free. Prove that Rr\frac{R}{r} is irraational . The symbols have usual meanings.
ratioanalytic geometrygeometry unsolvedgeometry