Given ratio = \( \Large \frac{1}{3}:\frac{1}{4}:\frac{1}{5} \)

Let lengths of the sides be 20x,15x and 12x.

Then, according to the question,

20x + 15x + 12x = 94 =>47x = 94

x = \( \Large \frac{94}{47} \)=2

Smallest side =12x = \( \Large 12\times 2 \) = 24 cm