Question

3. △PQR ~ △ABC, PQ = 6, AB = 8 and perimeter of △ABC is 36cm, then perimeter of △PQR is ? *

Answer 1

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$\huge {\blue{ \mathfrak{answer}}}$

$\mathrm{we \: are \: given \: that \: } \\ </p><p>\triangle{pqr} \sim \triangle{abc}$

$\mathrm{ \therefore \: by \: spst} \\ \frac{pq}{ab} = \frac{qr}{bc} = \frac{rp}{ca} = \frac{perimeter(abc)}{perimeter(pqr)} \\ \implies \frac{pq}{ab} = \frac{perimeter(abc)}{perimeter(pqr)} \\ \implies \frac{6}{8} = \frac{36}{perimeter(pqr)} \\ \implies perimeter(pqr) = 48cm$

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