The Cosine Rule

Part of Cosine Rule · Section 2 of 5

Key FactsUnit: Geometry & MeasuresGCSE
To find a sidea² = b² + c² - 2bc cos A
To find an anglecos A = (b² + c² - a²) / 2bc
Use whenSAS (2 sides + included angle) or SSS (all 3 sides)
NoteThe angle A is BETWEEN sides b and c

This key facts covers The Cosine Rule within Cosine Rule for GCSE Mathematics. Revise Cosine Rule in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 2 of 5 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Practice questions for Cosine Rule

Which formula is the cosine rule for finding side a?

  • A. a² = b² + c² − 2bc cosA
  • B. a/sinA = b/sinB
  • C. a² = b² + c²
  • D. cosA = (b + c − a) / 2bc
1 markfoundation

Show that when angle A = 90°, the cosine rule reduces to Pythagoras' theorem.

2 marksstandard

Quick recall flashcards

Cosine Rule
a² = b² + c² - 2bc cos A
Cosine Rule
a² = b² + c² - 2bc cosA. Use for SAS or SSS. Like Pythagoras with a twist!

12 questions on Cosine Rule: practise free

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