Third Side
Age 14 to 16
ShortChallenge Level 
The lengths of the sides of a right-angled triangle are all integers.
The sum of the lengths of the hypotenuse and one of the other sides is 49.
What are the three possible lengths for the third side?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
You may also like
Picture Story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
There and Back
Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?
Doesn't Add Up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?