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Area of a triangle using sineIB MYP Maths Extended: Mind map

What this mind map covers

  • Formula
  • Rearranging
  • Combining rules
  • Bearings
  • Design problems
  • Exam tips

Exam questions on Area of a triangle using sine

  1. In triangle ABCABC, AB=10AB=10 cm, BC=14BC=14 cm and AB^C=30∘A\hat BC=30^\circ.
    Find the shortest distance from AA to the line BCBC.2 marks
  2. PQRSPQRS is a parallelogram with PQ=12PQ=12 cm, QR=9QR=9 cm and PQ^R=70∘P\hat QR=70^\circ.
    Find the length of the diagonal PRPR.2 marks
  3. A ship leaves port AA and sails 8 km on a bearing of 040∘040^\circ to a buoy BB. It then sails 6 km on a bearing of 100∘100^\circ to a second buoy CC.
    Find the angle AB^CA\hat BC.3 marks
See the full worksheet

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).