3

Part of 1993 Spain Mathematical Olympiad

Problems(1)

R> = 2ρ, where R , ρ are circumradius , inradius resp.

Source: Spanish Mathematical Olympiad 1993 P3

Prove that in every triangle the diameter of the incircle is not greater than the radius of the circumcircle.

geometryinradiuscircumradiusgeometric inequality