(a) The ratio of the areas of two similar triangles is \(1 : k\). Write down, in terms of \(k\), the ratio of the lengths of their corresponding sides. (1)
(b)
Diagram NOT accurately drawn
\(AB = 10\) cm. \(PQ\) is parallel to \(BC\). The area of triangle \(APQ\) is half the area of triangle \(ABC\). Calculate the length of \(AP\). Give your answer correct to 2 significant figures. (2)
