If ∆ABC ~ ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm, and RP = 12 cm, then find the perimeter of ∆ABC.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 18 cm.
Given that
If ∆ABC ~ ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm,
According to the question
AB = 4 cm, PQ = 6 cm
⇒ AB/PQ = BC/QR
⇒ 4/6 = BC/9
⇒ BC = 6 cm
⇒ AB/PQ = CA/RP
⇒ 4/6 = CA/12
⇒ CA = 8 cm
Hence, the perimeter of ∆ABC = AB + BC + CA = 4 + 6 + 8 = 18 cm