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Pythagoras' Dream

Age 14 to 16 Short
Challenge Level


An isosceles right-angled triangle has a square drawn along each of its sides.

The sum of the areas of the squares is $72$ cm$^2.$ 

What is the area of the triangle?









This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.