Pythagorean Theorem Worksheet
Find the missing side of each right triangle with a² + b² = c². Triangles use Pythagorean triples, so every answer is a whole number.
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Example worksheets
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Best for: Grades 8–9
a² + b² = c²
In a right triangle the two shorter sides (legs) squared add up to the longest side (hypotenuse) squared. To find a leg, subtract: a² = c² − b².
Find the hypotenuse first
The hypotenuse is always opposite the right angle and always the longest side. Sheets ask for the hypotenuse most often, with missing legs mixed in.
Bigger triangles
Raise “Largest side” above 30 to use multiples of the triples (like 9, 12, 15) and larger triples.
Make it a timed challenge
Put a visual classroom timer on the board and see how many problems students can finish before the time runs out. Print a new version tomorrow and try to beat the score.
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Frequently asked questions
Are answers whole numbers?
Yes, every triangle is a Pythagorean triple or a multiple of one.
Is the hypotenuse labeled?
Students find it by spotting the side opposite the right-angle box.
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