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# Puzzles

## Square in a triangle

Permanent link to this puzzle: mscroggs.co.uk/puzzles/78
Source: Maths Jam
A right-angled triangle has short sides of length $$a$$ and $$b$$. A square is drawn in the triangle so that two sides lie on the sides of the triangle and a corner lies on the hypotenuse.
What is the length of a side of the square?

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