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Cambridge IGCSE Mathematics practice

MCQ practice - Apply the sine and cosine rules to solve problems related to non-right-angled triangles, including those with obtuse angles and ambiguous cases. Use the formula for the area of a triangle, which is given as area = ab sin C. - Non-right-angled triangles

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MCQ

Type

cambridge_mcq

Style

Topic

Non-right-angled triangles

Exam-style question

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Which formula would you use to find an unknown side when you know two sides and the included angle of a triangle?.

  1. A.Sine rule
  2. B.Cosine rule
  3. C.Area formula
  4. D.Pythagoras' theorem

Answer and explanation

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  • Topic focus: Non-right-angled triangles.
  • Question style: cambridge_mcq.
  • Reasoning demand: reasoning.
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Paper 2 structured question: Non-right-angled triangles

Paper 2Core or Extended Mathematics6 marks

Diagram Description

Triangle ABC

Triangle ABC has sides AB = 7 cm, AC = 10 cm, and angle BAC = 120°. Find the length of side BC and the area of the triangle.

Side/AngleValue
AB7 cm
AC10 cm
Angle BAC120°
  1. a

    Calculate the length of side BC.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Calculate the area of triangle ABC.

    Aim for approximately 3 distinct marking points.

    [3]