Two possible lengths of a side of a triangle from the ambiguous case of the sine rule
Two possible lengths of a side of a triangle from the ambiguous case of the sine rule
IB Year 6 | Grade 12
5 marks
In triangle \(PQR\), \(PQ=9\text{ cm}\), \(PR=7\text{ cm}\) and \(\angle PQR=40^\circ\). Find the two possible lengths of \(QR\), giving your answers correct to \(3\) significant figures.[5]
Solution:
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Answer:\(QR=10.8\text{ cm}\) or \(QR=2.95\text{ cm}\) (3 s.f.)
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