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, we can follow these steps:

### Step 1: Understanding the Problem
We have an equilateral triangle ABC, and from a point O inside the triangle, perpendiculars are drawn to the sides AB, BC, and AC. The lengths of these perpendiculars are given as:
- OP (perpendicular to AB) = 14 cm
- OQ (perpendicular to BC) = 10 cm
- OR (perpendicular to AC) = 6 cm

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