Copyright © University of Cambridge. All rights reserved.

'Right-angled Request' printed from

Show menu

See all short problems arranged by curriculum topic in the short problems collection

The figure shows a rectangle PRSU with a line QT, which divides the rectangle into two squares.
How many right-angle triangles can be drawn using any three points P, Q, R, S, T, U as corners?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.  

This problem is taken from the UKMT Mathematical Challenges.