1992 CMO Problem: Cocircular Orthocenters

Let , , , be distinct points on a circle (black) centered at . Let be the orthocenter of triangle and so on. You can show that the four orthocenters are cocircular and the circle (green) has the same radius as the original circle.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

This Demonstration is based on a problem from the 2nd Section of the Chinese Math Olympic National Final in 1992.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.