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Pythagoras' theorem: shorter sides

Rearrange Pythagoras’ theorem to find a shorter side, test whether a triangle is right-angled and solve ladder and ramp problems.

⏱ 20 min❓ 11 questions

What you'll be able to do

  • ✔I can find a shorter side using a² = c² − b²
  • ✔I can use the converse of Pythagoras’ theorem to test whether a triangle is right-angled
  • ✔I can solve practical problems such as ladders, ramps and screens

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

11 questions and 1 quick teaching card, including:

  • 🔢Number answer — Work out the answer and type the number.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

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Curriculum: AC9M8M06