A side of an equilarteral triangle is 20 cm long .A second equilateral triangle is inscribed in it by joning the mid -point of the sides of the first triangle . The process is caontinued as shown in the accompanying diagram . find the perimeter of the sixth inscribed equilateral triangle .

Explanation

To find the perimeter of the sixth inscribed equilateral triangle, we will follow these steps:

### Step 1: Understand the Problem
We start with an equilateral triangle with a side length of 20 cm. Each subsequent triangle is formed by joining the midpoints of the sides of the previous triangle.

### Step 2: Identify the Side Lengths of the Triangles
1. **First Triangle (ABC)**:
- Side length = 20 cm
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