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Triangle ABC ~ triangle PQR. AB = 4 cm, BC = 5 cm, CA = 6 cm and PQ = 6 cm.
Find the perimeter of triangle PQR (in cm).

Class 10Similarity and CongruenceGeometry — Similarity

A45
B24.5
C22.5
D20.5

Step-by-Step Solution

Scale factor =

\frac{PQ}{A B} = \frac{6}{4} = \frac{3}{2}

. Perimeter of ABC = 4+5+6 = 15. Perimeter of PQR

= 15 * \frac{3}{2} = 22.5

cm.

Answer: C) 22.5

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