Copyright © University of Cambridge. All rights reserved.

'Napoleon's Hat' printed from http://nrich.maths.org/

Show menu


hat
The diagram shows three equilateral triangles $ABC, AYX$ and $XZB$. The point $X$ is a moveable point on $AB$. The points $P$, $Q$ and $R$ are the centres of the three triangles.

Experiment with the dynamic diagram.

What can you say about triangle $PQR$?

Can you prove your conjecture?

Created with GeoGebra


You can download your own free copy of Geogebra from the above link and draw your own dynamic diagrams.