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Use the cosine rule in a non-right-angled triangle

Question 1 of 8

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Consider the non-right-angled triangle \(JKL\)

Side \(j\) is opposite angle \(J\) and is unknown. Side \(k\) is opposite angle \(K\) and is 13 m. Side \(l\) is opposite angle \(L\) and is 15 m

Sides \(k\) and \(l\) meet at vertex \(J\). The included angle between them is \(J=53^{\circ}\). Find side \(j\)

(a)1 mark

Use the cosine rule to calculate \(j^{2}\) to 2 decimal places

Format: 2 d.p.
(b)1 mark

Determine \(j\) and round the length to 2 decimal places

Format: 2 d.p.