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Cambridge IGCSE Mathematics

6.6Pythagoras' theorem and trigonometry in 3D

Pythagoras' theorem and trigonometry in 3D in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.6.1Extended: solve problems in three dimensions using Pythagoras' theorem and trigonometry, including the angle between a line and a plane.

Lessons

  • Trigonometry in three dimensions

    30 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Pythagoras' theorem and trigonometry in 3D: sample question

1 mark

A cuboid measures 3 cm by 4 cm by 12 cm. Find the length of its space diagonal.

Answer in cm.

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