MathDB

2

Part of 1994 APMO

Problems(1)

Oh < 3r

Source: APMO 1994

3/11/2006
Given a nondegenerate triangle ABCABC, with circumcentre OO, orthocentre HH, and circumradius RR, prove that ∣OH∣<3R|OH| < 3R.
geometrycircumcircleEuleranalytic geometryperpendicular bisectorcomplex numbersgeometry unsolved