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Triangle ABC ~ triangle DEF. The perimeter of triangle ABC is 24 cm and of triangle DEF is 36 cm. If AB = 8 cm, find DE (in cm).

Class 10Similarity and CongruenceGeometry — Similarity

A11
B12
C13
D24

Step-by-Step Solution

Ratio of perimeters = ratio of corresponding sides =

\frac{36}{24} = \frac{3}{2}

. DE = AB *

\frac{3}{2} = 8 * \frac{3}{2} = 12

cm.

Answer: B) 12

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