Higher January 2019 Paper 1 Q8
8 The diagram shows an isosceles triangle.
Diagram NOT accurately drawn
The area of the triangle is 12 cm2
Work out the perimeter of the triangle.
Give your answer correct to 3 significant figures.
(4)
| Scheme | Marks |
|---|---|
\(\dfrac{1}{2} \times 5 \times h = 12\) oe or \(\dfrac{1}{2} \times 2.5 \times h = 6\) oe or \(h = 4.8\) | M1 |
(\(x\) =) \(\sqrt{2.5^2 + \text{``}{4.8^2}\text{''}}\) or (\(x\) =) \(\sqrt{\text{``}{29.29}\text{''}}\) or 5.41(202…) | M1 |
| \(2 \times \text{``}{5.41}\text{''} + 5\) | M1 |
| 15.8 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: NB: 4.8 may be seen on the diagram
M1: ft the candidate’s value for height for this mark (award of this mark does not depend on award of previous mark)
M1: dep on previous M1
A1: for 15.8 – 15.83