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Cambridge IGCSE Mathematics

6.2Right-angled triangles

Right-angled triangles in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic49 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.1Use the sine, cosine and tangent ratios of acute angles to find sides and angles of right-angled triangles, giving angles to one decimal place.
  2. 6.2.2Solve two-dimensional problems using Pythagoras' theorem and trigonometry, including problems with bearings.
  3. 6.2.3Extended: know that the perpendicular distance from a point to a line is the shortest distance to the line.
  4. 6.2.4Extended: solve problems involving angles of elevation and depression.

Lessons

  • Angles of elevation and depression

    20 min

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  • Trigonometry in right-angled triangles

    25 min

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Sample question

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

Right-angled triangles: sample question

1 mark

True or false: the angle of depression of a boat from the top of a cliff is equal to the angle of elevation of the top of the cliff from the boat.

Is the statement true or false?

Turn Right-angled triangles into a strength.

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