ΔABC ~ ΔPQR, AB = 12 cm, PQ = 18 cm, and the perimeter of ΔABC is 45 cm. Find the perimeter of ΔPQR.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 67.5 cm.
We know that,
Perimeter of ΔPQR/Perimeter of ΔABC = PQ/AB
On putting the given values we get
Perimeter of ΔPQR/45 = 18/12
Perimeter of ΔPQR = 18/12 × 45
Perimeter of ΔPQR = (9 × 15)/2 = 135/2 = 67.5 cm