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Napoleon's Hat
Age 16 to 18
Challenge Level 
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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?
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Created with GeoGebra |
You can download your own free copy of Geogebra from the above link and draw your own dynamic diagrams.
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