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Weekly Problem 23 - 2007

If two of the sides of a right-angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?

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Weekly Problem 1 - 2011

Use facts about the angle bisectors of this triangle to work out another internal angle.

Weekly Problem 14 - 2007

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

(Diagram not to scale.)
In the triangle $PQR$, the angle $QPR=40^{\circ}$ and the internal bisectors of the angles at $Q$ and $R$ meet at $S$, as shown. What is the size of angle $QSR$?


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