If area of a triangle is 2 sq. units, then find the value of the product of the arithmetic mean of the lengths of the sides of a triangle and harmonic mean of the lengths of the altitudes of the triangle.

Explanation

To solve the problem, we need to find the product of the arithmetic mean of the lengths of the sides of a triangle and the harmonic mean of the lengths of the altitudes of the triangle, given that the area of the triangle is 2 square units.

### Step-by-Step Solution:

1. **Define the sides of the triangle**:
Let the lengths of the sides of the triangle be \( a \), \( b \), and \( c \).

2. **Calculate the Arithmetic Mean (AM)**:
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