Question 283707: the diagonal of a square is 62 feet. What is the perimeter?
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! The diagonal of a square is the hypotenuse of a triangle.
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c^2 = a^2 + b^2
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Since it is a square, a=b.
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62^2 = a^2 + b^2 = a^2 + a^2
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62^2 = 2a^2
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3844 = 2a^2
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2a^2 = 3844
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a^2 = 1922
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a = sqrt(1922)
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a = 43.84
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So, the perimeter = 4*43.84 = 175.35 or about 176
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Done
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