Three point masses `m_(1), m_(2)` and `m_(3)` are located at the vertices of an equilateral triangle of side `alpha`. What is the moment of inertia of the system about an axis along the altitude of the triangle passing through `m_(1)?`

Explanation

To find the moment of inertia of the system of three point masses located at the vertices of an equilateral triangle about an axis along the altitude of the triangle passing through one of the masses, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Configuration**:
We have three point masses \( m_1, m_2, \) and \( m_3 \) located at the vertices of an equilateral triangle with side length \( \alpha \). The axis of rotation is along the altitude of the triangle passing through mass \( m_1 \).

2. **Determine the Position of the Masses**:
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