The largest side of a triangle is twice the smallest side. Its largest side is 3 cm more than the third side. Find the minimum length of the smallest side if the minimum perimeter of the triangle is 62 cm.

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 smallest side.

### Step 1: Define the sides of the triangle
Let the smallest side of the triangle be \( x \) cm. According to the problem:
- The largest side is twice the smallest side, so the largest side is \( 2x \) cm.
- The third side is 3 cm less than the largest side, which gives us the third side as \( 2x - 3 \) cm.

### Step 2: Write the inequality for the perimeter
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