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The Sine Rule

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Lesson

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8 minute activity

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Triangle ABC with angles A, B, C and opposite sides BC, AC, AB colour coded to show opposite pairs The sine rule is usually used in non-right-angled triangles and links each angle to the side directly opposite it. Before you substitute anything, identify the matching side-angle pairs.

In triangle ABCABCABC, side BCBCBC is opposite angle AAA, side ACACAC is opposite angle BBB, and side ABABAB is opposite angle CCC. If two angles are known, find the third first because A+B+C=180∘A + B + C = 180^\circA+B+C=180∘.

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Question 1

3 marks

Work out the value of xxx. Give your answer to 1 decimal place.

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In triangle ABC, which side is opposite angle C?

The Sine Rule Revision Guide

  1. GCSE
  2. /Maths
  3. /The Sine Rule

Revision notes for Edexcel GCSE Maths The Sine Rule. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

SurdsBoundsDirect and Inverse ProportionQuadratic FormulaFactorising Harder QuadraticsAlgebraic FractionsRearranging Harder FormulaeTrigonometric and Exponential GraphsInverse and Composite FunctionsIterationFinding the Area of Any TriangleThe Sine RuleThe Cosine RuleCongruent Triangles3d Pythagoras and TrigonometryHistogramsConditional Probability

Practise questions

1 of 5

In triangle ABCABCABC, AB=8AB=8AB=8 cm, angle A=50∘A=50^\circA=50∘ and angle B=70∘B=70^\circB=70∘. Which complete opposite pair can be used in the sine rule?