4MA0 Higher June 2016 Paper 4 Q9
9
Diagram NOT accurately drawn
Work out the perimeter of the triangle.
(4)
| Scheme | Marks |
|---|---|
| \(13.5^2 + 60^2\) or 182.25 + 3600 or 3782.25 | M1 |
| \(\sqrt{\text{"3782.25"}}\) or awrt 61.5 | M1 |
| \(13.5 + 60 + \sqrt{\text{"3782.25"}}\) or 13.5 + 60 + 61.5 | M1 |
| 135 | A1 |
| (4) |
Notes
M1: For squaring and adding
M1: (Dep) for square root
M1: Dep
A1: cao
NB: A0 if 61.5 is rounded from an inexact value (eg 61.505…)
Alternative method – using Trigonometry
| Scheme | Marks |
|---|---|
| Eg \(A\) = 77.3(196…) and \(\sin\text{"77.3"} = \dfrac{60}{AC}\) | M1 |
| (\(AC\) =) \(\dfrac{60}{\sin\text{"77.3"}}\) or awrt 61.5 | M1 |
| \(13.5 + 60 + \dfrac{60}{\sin\text{"77.3"}}\) or 13.5 + 60 + 61.5 | M1 |
| 135 | A1 |
Notes
M1: For finding a correct angle AND a correct trig statement
M1: (Dep) For an expression for \(AC\)
M1: Dep
A1: cao
NB: A0 if 61.5 is rounded from an inexact value (eg 61.505…)