# Puzzles

## Square in a triangle

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?

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXX,

puzzles about 2d shapes, or a random puzzle.

puzzles about 2d shapes, or a random puzzle.