Geometry
Pythagoras
Name: Date:
Find the missing side. All lengths are in centimetres.
1 cm
2 cm
3 cm
4 cm
5 cm
6 cm
Free · Grade 8 · Sides to 70 cm
Pythagorean theorem worksheets
Working on pythagorean theorem? Print this sheet as it is, or change the level and questions first.
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The answer key prints on a separate page.
What's on this sheet
Drawn from any two legs, the theorem almost never gives a whole hypotenuse, and a sheet built that way asks a thirteen-year-old for the square root of 41 in a blank the width of a number. Triples such as 3-4-5, 5-12-13, and 8-15-17, together with all their multiples, are what a textbook uses for the same reason: the arithmetic stays clean so the method can be the difficulty.
Why this sheet works
Finding a leg is a separate setting from finding the hypotenuse, and worth a whole sheet of its own. One is an addition then a square root; the other is a subtraction then a square root, and children who have only ever done the first will add when they should take away — reliably, and it is the mistake this standard is really about.