Two triangles and are similar

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

Two triangles

\triangle ABC

and

\triangle DEF

are similar. The shortest side of

\triangle ABC

measures

6\ \text{cm}

and the corresponding side of

\triangle DEF

measures

9\ \text{cm}

. If the longest side of

\triangle ABC

10\ \text{cm}

, find the length of the longest side of

\triangle DEF

. (a)

12\,\text{cm}

(b)

22.5\,\text{cm}

(c)

15\,\text{cm}

(d)

13.33\,\text{cm}