Two possible lengths of a side in the ambiguous case of a triangle with a 45 degree angle
Two possible lengths of a side in the ambiguous case of a triangle with a 45 degree angle
IB Year 6 | Grade 12
5 marks
In triangle \(PQR\), \(\angle PQR=45^\circ\), \(PQ=8\text{ cm}\) and \(PR=6\text{ cm}\). Find the two possible lengths of \(QR\).[5]
Solution:
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Answer:\(QR=4\sqrt2+2\approx7.66\text{ cm}\) or \(QR=4\sqrt2-2\approx3.66\text{ cm}\)
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