Mathematics

Problem

Triangles ΔABC and ΔDEF are similar with

\angle A = \angle D

and

\angle B = \angle E

. In ΔABC,

AB = 6\,

cm and the median from

A

BC

5\,

cm. In ΔDEF, the median from

D

EF

7.5\,

cm. Find the length of

DE

. a)

10\,\text{cm}

7.5\,\text{cm}

9\,\text{cm}

4\,\text{cm}