Let ΔABC ~ ΔQPR and ratio of the area of ΔABC and ΔQPR is 9 : 16. If AB = 12 cm, BC = 6 cm, and AC = 9 cm, then find the value of PR.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 8 cm
We know when two triangles are similar then "The areas of two similar triangles are proportional to the squares of their corresponding sides".
⇒ 9/16 = BC2/PR2
⇒ 9/16 = 62/PR2
⇒ PR2 = 16 × 36/9 = 64
⇒ PR = 8 cm