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If $△ ABC ~ △ PQR$ , perimeter of $△ ABC = 32 cm$ , perimeter of $△ PQR = 48 cm and PR = 6 cm,$ then the length of AC =

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7 cm

6 cm

4 cm

13 cm

answer is C.

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Detailed Solution

$ΔABC ~ ΔPQR \frac{per (ΔABC)}{per (ΔPQR)} = \frac{AC}{PR} \begin{aligned} \Rightarrow \frac{32}{48} = \frac{AC}{6} \\ \Rightarrow AC = 4 cm \end{aligned}$

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