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  1. If the length of each side of an equilateral triangle is increased by 2 unit, the area is found to be increased by 3 + √3 square unit. The length of each side of the triangle is
    1. 3 unit
    2. 3 unit
    3. 3√3 unit
    4. 1 + 3√3 unit
Correct Option: A

Using Rule 6,
Side of equilateral triangle = x units.

3
[(x + 2)² - x²] = 3 + √3
4

3
(4x + 4) = 3 + √3
4

⇒ √3x + √3 = 3 + √3 = √3x = 3
⇒ x = 3 units



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