GCSE · Pythagoras & right-angled trigonometry

Pythagoras' theoremExam-style questions

Why a² + b² = c² holds, spotting the hypotenuse, the add-or-subtract decision, testing whether a triangle is right-angled, distance between two coordinates, and Pythagoras in 3D.

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13 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    A square has a diagonal of length 1212 cm.

    (a) Work out the side length of the square. Give your answer correct to 3 significant figures.

    (b) Work out the exact area of the square.
    Level 5 · 3 marksTry it