SOLUTION: The sides of an equilateral triangle are increasing at the rate of 5 inches per second.How fast is the area of the triangle increasing when the sides are 10 inches long? Can yo

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Question 984018: The sides of an equilateral triangle are increasing at the rate of 5 inches per second.How fast is the area of the triangle increasing when the sides are 10 inches long?
Can you explain or give an equation the easy way?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sides of an equilateral triangle are increasing at the rate of 5 inches per second.How fast is the area of the triangle increasing when the sides are 10 inches long?
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s = side length
Area+=+b%2Ah%2F2+=+s%5E2%2Asqrt%283%29%2F4
dA%2Fdt+=+%28s%2Asqrt%283%29%2F2%29%2A%28ds%2Fdt%29

At s = 10 --> 5%2Asqrt%283%29%2A5+=+25sqrt%283%29 sq in/sec