| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| 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 cosine rule to find an angle, then the area formula. Both are standard procedures with no problem-solving required—students simply identify which formulas to use and substitute given values. The largest angle is opposite the longest side, which is immediately apparent. |
| Spec | 1.05b Sine and cosine rules: including ambiguous case1.05c Area of triangle: using 1/2 ab sin(C) |
1 The lengths of the three sides of a triangle are $6.4 \mathrm {~cm} , 7.0 \mathrm {~cm}$ and 11.3 cm .\\
(i) Find the largest angle in the triangle.\\
(ii) Find the area of the triangle.
\hfill \mbox{\textit{OCR C2 2009 Q1 [5]}}