4400 Higher June 2005 Paper 4 Q12
12 Triangles \(ABC\) and \(DEF\) are similar.

Diagrams NOT accurately drawn
\(AC = 2.5\) cm \(\quad BC = 2\) cm \(\qquad DE = 1.5\) cm \(\quad EF = 3\) cm \(\quad\) Angle \(EDF = 49^\circ\)
(a) Find the size of angle \(BAC\). (1)
(b) Work out the length of
(i) \(DF\),
(ii) \(AB\). (4)
| Scheme | Marks |
|---|---|
| 49 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| (i) \(2.5 \times 3/2\) oe | M1 |
| 3.75 | A1 |
| (ii) \(1.5 \times 2/3\) oe | M1 |
| 1 | A1 |
| (4) | |
| (5 marks) |
Notes
A1: cao
M1: Or 1.5 − 0.5
A1: cao