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?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 6 cm
In similar triangles all corresponding sides are in one ratio, so the perimeters are in that same ratio.
Ratio of the sides \(=24:16=3:2\)
Each side of the second triangle is \(\frac{2}{3}\) of the matching side of the first
Corresponding side \(\displaystyle=9\times\frac{2}{3}=6\) cm