SOLUTION: CATS is a square. CT = 6 times the square root of 2. if CT is the diagnal of the square. what is the distance of CA (any one side of the square). My son has this problem and

Question 68027: CATS is a square. CT = 6 times the square root of 2.
if CT is the diagnal of the square.
what is the distance of CA (any one side of the square).
My son has this problem and we've checked his Geometry book and see no samples that can assist us. Thank you.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
CT is a diagonal of a square (squares have all sides equal to one sole digit)
When you look at two sides of the square and the diagonal you see ... ? A right triangle! The addition of the square of the two legs (the two sides) equals the square of the diagonal ... better yet when you have the legs being the same, the legs are found by looking at the diagonal. The legs are something times square root of 2.
legs = x units
diagonal = x*sqrt(2)
The legs are 6 units.
CA = 6 units
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