Copyright © University of Cambridge. All rights reserved.

'Right-angled Request' printed from

Show menu

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.

View the previous week's solution
View the current weekly problem