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Golden Thoughts

Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.

Folded A4

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

The diagram on the right shows the fold lines that produce each of the four possible shapes. The shape formed by folding along a line between two opposite corners is shown in blue.


This problem is taken from the UKMT Mathematical Challenges.
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