triangle abc similar triangle pqr. ab is equal to 6cm bc is equal to 4cm. ac is equal to 8cm. and pq is equal to 9cm. what is the perimeter of triangle pqr
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Step-by-step explanation:
ABC ~ PQR
By Basic proportionality theorem,
AB/PQ = BC/QR = AC/PR
AB/PQ = BC/QR
6/9 = 4/QR
QR= 9 × 4/ 6
QR= 6 cm
similarly, AC/PR = BC/QR
8/PR = 4/6
PR = 12cm
Perimeter of PQR = PQ + QR + PR = 9+6+12 = 27cm.
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