The sides of a triangle are in the ratio $$\frac{1}{3}:\frac{1}{5}:\frac{1}{6}.$$   If the perimeter is 147 cm, then the length of the smallest side is . . . . . . . .

Solution (By Examveda Team)

$$\eqalign{ & {\text{Side ratio}} = \frac{1}{3}:\frac{1}{5}:\frac{1}{6} = \boxed{10:6:5} \cr & 21\mu \to 147 \cr & 1\mu \to 7 \cr & {\text{Smallest side, }}5\mu \to 5 \times 7 = 35 \cr} $$