SOLUTION: find, in simple radical form the length of a side of a square whose diagonal is 12 inches. To check 6{{{sqrt(2)}}}^2 + 6{{{sqrt(2)}}}^2 = 12^2

Algebra ->  Pythagorean-theorem -> SOLUTION: find, in simple radical form the length of a side of a square whose diagonal is 12 inches. To check 6{{{sqrt(2)}}}^2 + 6{{{sqrt(2)}}}^2 = 12^2       Log On


   

Question 492919: find, in simple radical form the length of a side of a square whose diagonal is 12 inches.
To check 6sqrt%282%29^2 + 6sqrt%282%29^2 = 12^2
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
We are looking at the hypotenuse of a 45 45 90 right triangle.
The formula for the hypotenuse is side s = ssqrt%282%29.
Therefore, The formula for the side is s/sqrt%282%29
This would evalute to (12)sqrt%282%29/2, or 6sqrt%282%29.
to check, 6sqrt%282%29^2 + 6sqrt%282%29^2 = 12^2
72 + 72 = 144.
This does check,
Cleomenius.