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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
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- √3 unit
- 3 unit
- 3√3 unit
- 1 + 3√3 unit
- √3 unit
Correct Option: A
Using Rule 6,
Side of equilateral triangle = x units.
∴ | [(x + 2)² - x²] = 3 + √3 | |
4 |
∴ | (4x + 4) = 3 + √3 | |
4 |
⇒ √3x + √3 = 3 + √3 = √3x = 3
⇒ x = 3 units