olymmath

APMO 1994 Problem 2

  • Paper
  • Answer

Given a nondegenerate triangle ABCA B C, with circumcentre OO, orthocentre HH, and circumradius RR, prove that ∣OH∣<3R|O H|<3 R.

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

O H<3 R

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator apmo/1994/p2 · Tag QKA5HK5Q1C · Edit this page on GitHub · Keys: j next, k previous