Higher June 2017 Paper 3 Q15
15
The area of triangle \(ABC\) is \(6\sqrt{2}\) m².
Calculate the value of \(x\).
Give your answer correct to 3 significant figures. (5)
| Answer | Mark | Notes |
|---|---|---|
| 2.63 | P1 | for setting up the expression \(\tfrac{1}{2}(x + 3)(2x - 1)\sin 45\) (may be seen in an equation) |
| P1 | (dep) for expanding the brackets in the expression or for the equation \(\tfrac{1}{2}(x + 3)(2x - 1)\sin 45 = 6\sqrt{2}\) oe | |
| P1 | (dep) for the process to set up the equation and rearrange to the form \(ax^2 + bx + c = d\) e.g. to \(2x^2 + 5x - 27 = 0\) or \(24 = 2x^2 + 5x - 3\) | |
| P1 | (dep) for substitution into the quadratic formula e.g. \(\dfrac{-5 \pm \sqrt{5^2 - 4 \times 2 \times -27}}{2 \times 2}\) | |
| A1 | for 2.63(10436…) |