From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are `14 cm, 10 cm` and `6 cm.` Find the area of the triangle.

Explanation

To find the area of the equilateral triangle given the lengths of the perpendiculars from a point inside the triangle to its sides, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the lengths of the perpendiculars**:
Let the lengths of the perpendiculars from the point to the sides of the equilateral triangle be \( h_1 = 14 \, \text{cm} \), \( h_2 = 10 \, \text{cm} \), and \( h_3 = 6 \, \text{cm} \).

2. **Use the formula for the area of the triangle**:
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