The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Explanation

To solve the problem step by step, we will define the sides of the triangle based on the information given and then set up an inequality to find the minimum length of the shortest side.

### Step 1: Define the sides of the triangle
Let the shortest side of the triangle be denoted as \( x \) cm.

According to the problem:
- The longest side (let's denote it as \( AC \)) is 3 times the shortest side:
\[
...