And are similar triangles.

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

\Delta ABC

and

\Delta DEF

are similar triangles. (i) Define the term “scale factor” for two similar triangles. (ii) Let the corresponding sides satisfy

AB : DE = 5 : 3

. Prove that the ratio of the perimeters of

\Delta ABC

and

\Delta DEF

is also

5 : 3

. (iii) If the perimeter of

\Delta DEF

21\,\text{cm}

, calculate the perimeter of

\Delta ABC