SOLUTION: Find the length of diagonal of a square interms of its edge a

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Question 963669: Find the length of diagonal of a square interms of its edge a
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonal is the hypotenuse of a right triangle with sides of the square as legs. Let a=length of sides, d=diagonal:
d%5E2=a%5E2%2Ba%5E2
d%5E2=2a%5E2 Find the square root of each side.
d=sqrt%282a%5E2%29
d=sqrt%282%29a
ANSWER: The diagonal is the square root of 2 times the side.