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Weekly Problem 12 - 2016
The diagram shows a square PQRS and two equilateral triangles RSU and PST. PQ has length 1. What is the length of TU?
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Internal - External


The diagram shows a square $PQRS$ and two equilateral triangles $RSU$ and $PST$.

$PQ$ has length $1.$

What is the length of $TU$?

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