# Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 101: 13

$x=6$ cm is the length of the shortest side.

#### Work Step by Step

The perimeter of a triangle can be calculated as: $P=a+b+c$, where a, b and c are the lengths of its sides Here: $a=2x$, $b=2x$, $c=x$, $P=30$ cm, by substituting, we get: $30=2x+2x+x$ $30=5x$ $x=6$ cm, this is the length of the shortest side.

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