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
    The diagram shows a cuboid measuring 1010 cm by 66 cm by 88 cm.10 cm6 cm8 cmDiagram NOT accurately drawn

    Work out the length of the longest diagonal of the cuboid. Give your answer correct to 1 decimal place.
    Level 4 · 4 marksTry it
  2. 2
    An isosceles triangle has a base of 1616 cm and two equal sides of 1717 cm.

    Work out the area of the triangle.
    Level 4 · 4 marksTry it