SOLUTION: Find the percentage decreased in the area of a equilateral triangle if it's each side is half

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Question 892330: Find the percentage decreased in the area of a equilateral triangle if it's each side is half
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For an equilateral triangle,
A=%28sqrt%283%29%2F4%29s%5E2
So if s%5B2%5D=%281%2F2%29s%5B1%5D
A%5B2%5D%2FA%5B1%5D=s%5B2%5D%5E2%2Fs%5B1%5D%5E2
A%5B2%5D%2FA%5B1%5D=%28%281%2F2%29s%5B1%5D%5E2%29%2Fs%5B1%5D%5E2
A%5B2%5D%2FA%5B1%5D=1%2F4
Since the new area is 1%2F4 of the old area, the decrease is 3%2F4 or 75%.