SOLUTION: find the length of a each side of a square when the length of a diagonal is 24 times the square root of 2

Question 245713: find the length of a each side of a square when the length of a diagonal is 24 times the square root of 2
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The diagonal would be the hypotenuse of the right triangle formed by two sides of the square and the diagonal(a line from two corners that do not form a side).
using the formula for the hypotenuse
a^2+b^2=c^2
where a=b and c=24 sqrt2
a^2+a^2=c^2
combine
2a^2=24^2*2
divide both sides by 2
a^2=24^2
get the square root of both sides
a=24
We are not told what units we are using inches, feet, meters or something else.

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