If ∼ , perimeter of = 32cm , perimeter of = 48cm and = 6cm , then the length of AC=

△ABC~△PQRper△ABCper△PQR=ACPR⇒3248=AC6⇒AC=4cm

If ∼ , perimeter of = 32cm , perimeter of = 48cm and = 6cm , then the length of AC=

△ABC~△PQRper△ABCper△PQR=ACPR⇒3248=AC6⇒AC=4cm

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If 𝛥𝐴𝐵𝐶 ∼ 𝛥𝑃𝑄𝑅 , perimeter of 𝛥𝐴𝐵𝐶 = 32cm , perimeter of 𝛥𝑃𝑄𝑅 = 48cm and 𝑃𝑅 = 6cm , then the length of $A C =$

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7 cm

13 cm

6 cm

4 cm

answer is C.

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Detailed Solution

$△ A B C ~ △ P Q R$

$\frac{p e r (△ A B C)}{p e r (△ P Q R)} = \frac{A C}{P R}$

$\Rightarrow \frac{32}{48} = \frac{A C}{6}$

$\Rightarrow A C = 4 cm$

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