Higher November 2023 Unit 2 Q12
12. Triangle \(ABC\) has sides \(AB\) = 36·1 cm and \(AC\) = 13·8 cm, as shown below.
\(B\hat{A}C = 29^\circ\).
Diagram not drawn to scale
Calculate the length of the side \(BC\). [3]
| Scheme | Marks | Comments | ||||||
|---|---|---|---|---|---|---|---|---|
| (BC2 =) 36·12 + 13·82 – 2×36·1×13·8×cos29 OR (BC =) √[36·12 + 13·82 – 2×36·1×13·8×cos29] | M1 | |||||||
| (BC =) 24·9(4…cm) | A2 | Accept 25(cm) from correct working. A1 for (BC2 =) 622·2(1…)
|