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Third Side

Age 14 to 16 Short
Challenge 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.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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