Impossible triangle data

Impossible triangle data

Secondary 3
3 marks
TGM Original Questions

A pupil records \(BC=5\) cm, \(AC=8\) cm and \(\angle BAC=50^\circ\) for triangle \(ABC\). Use the sine rule to explain why these measurements cannot all be correct.[3]

Solution:

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Answer:No triangle: the sine rule would require \(\sin B>1\).

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