SOLUTION: Find the diagnoal of a square whose sides are 6 units

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Question 85464: Find the diagnoal of a square whose sides are 6 units
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Since we have a triangle with legs of 6 , 6 and a hypotenuse of x(our unknown side), we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem
a%5E2%2Bb%5E2=c%5E2

6%5E2%2B6%5E2=c%5E2 Plug in a=6 and b=6 and lets solve for c
3+6+%2B+3+6+=++c++%5E+2 Square each individual term



7+2+=++c++%5E+2 Combine like terms


s+q+r+t+%28+7+2+%29+=+s+q+r+t+%28++c++%5E+2+%29 Take the square root of both sides


s+q+r+t+%28+7+2+%29+=+c Simplify

So our answer is
c+=+s+q+r+t+%28+7+2+%29
which reduces to
c=6%2Asqrt%282%29

It turns out that if you have a square with sides of x, then the diagonal is x%2Asqrt%282%29