Find the centre of mass of three particle at the vertices of an equilateral triangle. The masses of the particle are `100g, 150 g, and 200g` respectively. Each side of the equilateral triangle is `0.5m` along.

Explanation

To find the center of mass of three particles located at the vertices of an equilateral triangle, we can follow these steps:

### Step 1: Define the coordinates of the particles
Let’s denote the particles and their respective masses:
- Particle 1 (m1 = 100 g) at vertex A (0, 0)
- Particle 2 (m2 = 150 g) at vertex B (0.5, 0)
- Particle 3 (m3 = 200 g) at vertex C (0.25, \(0.25\sqrt{3}\))

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