Question

The sides of a triangle are in the ratio 2 : 3 : 5. If its perimeter is 100 cm, the length of its smallest side is

(a) 2 cm
(b) 20 cm
(c) 3 cm
(d) 5 cm

Answer 1

(b) 20 cm
Length of the smallest side = $100\times \frac{2}{(2+3+5)}=100\times \frac{2}{10}=20cm$

Disclaimer: In actual terms, the sides of a triangle cannot be in the ratio 2 : 3 : 5.
Because, to form a triangle, the sum of two sides must be greater than the third side.
Here, the sum of two sides of the triangle is equal to the third side.