Pythagoras' theorem
Edexcel GCSE Maths revision on Pythagoras' theorem. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 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.)
Want to test yourself on the remaining cards for this topic?
19 more questions on Pythagoras' theorem — plus mistakes tracking and spaced repetition across the whole Maths spec.