# A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units 3 units?

Nov 23, 2016

4 inches

#### Explanation:

Lengths of other two sides = 18 - 8 = 10 inches.

The two sides are in the ratio = 2 : 3

Therefore shortest length will be $\frac{2}{2 + 3}$ part of 10 inches.

Hence the length of the shortest side = $\frac{2}{2 + 3} \cdot 10 = \frac{2}{5} \cdot 10 = 4$inches.