PythagorasFinding the hypotenuse
Name: Date:
Find the missing side. All lengths are in centimeters.
1 cm
2 cm
3 cm
4 cm
5 cm
6 cm
Pythagorean theorem: find the hypotenuse worksheets
The hypotenuse is the longest side of a right triangle: square the two legs, add them, then take the square root. These free printable worksheets drill that case alone, cut from the mixed page.
If they get stuck
Pythagorean theorem: find the hypotenuse
The answer key prints on a separate page.
What's on this sheet
This is the forward direction of the theorem, split from the mixed page where it is interleaved with finding a leg. Facing only hypotenuse questions lets a child fix the add step cleanly before having to decide, on a mixed sheet, whether to add or subtract.
Why this sheet works
Every triangle is drawn from a Pythagorean triple and its multiples, so the two legs always give a whole-number hypotenuse — a thirteen-year-old practices the theorem, not the square root of 41 crammed into a blank the width of a number. The right angle is marked, and the missing side is always the one opposite it.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Pythagorean theorem: find the hypotenuse, step by step