SOLUTION: the diagonal of a square is the square root of 15. what is the perimeter of the square?

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Question 525402: the diagonal of a square is the square root of 15. what is the perimeter of the square?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal of a square is the hypotenuse of a right triangle.
Applying the Pythagorean formula...
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15 = a^2 + b^2
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Since it is a square, we know that a=b
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15 = 2a^2
a^2 = 7.5
a = sqrt(7.5)
a = 2.738612787525831
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So the sides are 2.738612787525831.
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The perimeter = 4*2.738612787525831 = 10.95445115010332
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Done.