Question

Two similar triangles have perimeters \(30\) cm and \(20\) cm. If a side of the first triangle is \(18\) cm, the corresponding side of the second is:

• A. \(10\) cm
• B. \(8\) cm
• C. \(9\) cm
• D. \(12\) cm

Hint:

For similar polygons, perimeters scale exactly as any side.

Answer 1

The Correct Option is D

Side ratio \(=\) perimeter ratio \(=30:20=3:2\). Thus required side \(=18\times\frac{2}{3}=12\) cm.