4MA0 Higher January 2016 Paper 4 Q14

EdexcelHigherOld spec5 marksSimilar Shapes

14

Two triangles ABC and CDE meeting at C, with AB parallel to DE; AC = 4 cm, BC = 5 cm, CE = 10 cm and DE = 18 cm

Diagram NOT accurately drawn

\(ACE\) and \(BCD\) are straight lines.
\(AB\) is parallel to \(DE\).

(a) Calculate the length of \(CD\). (2)
(b) Calculate the length of \(AB\). (2)

The area of triangle \(ABC\) = \(T\) cm²

(c) Find the area of triangle \(CDE\) in terms of \(T\). (1)