If ΔABC and ΔPQR are similar. AB = 8 cm, PQ = 12 cm, QR = 18 cm, and RP = 24 cm, then the perimeter of ΔABC is _____ cm.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 36.
It is given that,
ΔABC and ΔPQR are similar then,
⇒ AB/PQ = BC/QR = AC/PR
⇒ 8/12 = BC/18 = AC/24
Now,
⇒ 8/12 = BC/18
⇒ 8/2 = BC/3
⇒ BC = 12
Now,
⇒ 8/12 = AC/24
⇒ AC = 16
So,
The perimeter of ΔABC = AB + BC + CA
⇒ 8 + 12 + 16 = 36 cm