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Question

How much Percentage of area of an equilateral triangle will increase if it's side is increased 3 times?

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Solution

Area of an equilateral triangle A = √3 a²/4 where a is the side

If the side is tripled, then A = √3 (3a)² /4 = 9 √3 a²/4

The area becomes 9 times or 900 % : increase in AREA is 800%

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