Higher November 2017 Paper 3 Q22
22 Here is a triangle.
Not drawn accurately
Work out the length \(PR\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(6^2 + 9^2 - 2 \times 6 \times 9 \times \cos 120\) or \(36 + 81 - 108 \cos 120\) or \(36 + 81 + 54\) or 171 | M1 | oe |
| \(\sqrt{6^2 + 9^2 - 2 \times 6 \times 9 \times \cos 120}\) or \(\sqrt{36 + 81 - 108 \cos 120}\) or \(\sqrt{36 + 81 + 54}\) | M1dep | oe |
| [13, 13.1] or \(\sqrt{171}\) or \(3\sqrt{19}\) | A1 |
Additional guidance
| \(6^2 + 9^2 = 36 + 81\) \(\phantom{6^2 + 9^2} = 117\) Answer \(\sqrt{117}\) | M0 |