The perimeters of two similar triangles are 24 cm and 16 cm respectively. If one side of the first triangle is 9 cm long, then what is the length of its corresponding side of the other triangle?

6 cm

Concept used :-

Ratio of perimeter of triangle = Ratio of Side of triangle

                       Triangle 1   :    Triangle 2

Perimeter               24        :       16

                             3         :        2

So,  Side                3          :       2

According to question,

3R = 9

1R = 3

Now, 2R = 2 × 3 = 6

The correct answer is Option (1) → 6 cm