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Sine and cosine rules and area of a triangleEdexcel International A Level Maths: Mind map

Sine rule
Cosine rule
Ambiguous case

Triangle rules

any triangle

sinecosinearea
Area
Choosing a method
Exam tips

Exam questions on Sine and cosine rules and area of a triangle

  1. In triangle PQRPQR, PQ=12PQ=12 cm, PR=9PR=9 cm and angle QPR=40∘QPR=40^{\circ}.
    Find the size of angle PQRPQR.2 marks
  2. A triangular plot of land ABCABC has AB=140AB=140 m, AC=95AC=95 m and BC=180BC=180 m.
    Find the size of the smallest angle of the plot.2 marks
  3. In triangle ABCABC, AB=8.4AB=8.4 cm, angle ABC=52∘ABC=52^{\circ} and angle ACB=71∘ACB=71^{\circ}.
    Find the length of ACAC.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).