Pythagoras' theorem
AQA GCSE Maths revision on Pythagoras' theorem. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 22 practice questions on this topic.
Sample questions (3 of 22)
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Question 1
Right triangle, two shorter sides 3 and 4. Hypotenuse?
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Answer: 5
Pythagoras: a^2 + b^2 = c^2 (c is the hypotenuse, the longest side). 3^2 + 4^2 = 25. c = sqrt(25) = 5.
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Question 2
Right triangle, hypotenuse 13, one short side 5. Find the other.
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Answer: 12
Rearranged: a^2 = c^2 - b^2. 13^2 - 5^2 = 169 - 25 = 144. a = sqrt(144) = 12.
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Question 3
Hypotenuse with legs 6 and 8?
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Answer: 10
Pythagoras: 6^2 + 8^2 = 36 + 64 = 100. sqrt(100) = 10. (6-8-10 is a common Pythagorean triple, like 3-4-5 doubled.)
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19 more questions on Pythagoras' theorem — plus mistakes tracking and spaced repetition across the whole Maths spec.