| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Sine and Cosine Rules |
| Type | Sequential triangle calculations (basic) |
| Difficulty | Moderate -0.8 This is a straightforward two-part question requiring direct application of the sine rule to find a side length, then using the standard area formula. Both parts are routine calculations with no problem-solving or conceptual challenges beyond basic recall of standard formulas. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case1.05c Area of triangle: using 1/2 ab sin(C) |
2.
The diagram shows triangle $A B C$ in which $A B = 12.6 \mathrm {~cm} , \angle A B C = 107 ^ { \circ }$ and $\angle A C B = 31 ^ { \circ }$.
Find\\
(i) the length $B C$,\\
(ii) the area of triangle $A B C$.\\
\hfill \mbox{\textit{OCR C2 Q2 [5]}}