4400 Higher June 2005 Paper 4 Q12

EdexcelHigherOld spec5 marksSimilar Shapes

12 Triangles \(ABC\) and \(DEF\) are similar.

Two similar triangles: ABC with AC = 2.5 cm and BC = 2 cm; DEF with DE = 1.5 cm, EF = 3 cm and angle EDF = 49 degrees

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)