SOLUTION: How do I workout this problem? The diagonal of a square measures 10 inches. What is the lenght of the sides?

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Question 373250: How do I workout this problem?
The diagonal of a square measures 10 inches. What is the lenght of the sides?
Found 3 solutions by Fombitz, rfer, edjones:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Use the Pythagorean theorem,
s%5E2%2Bs%5E2=%28sqrt%2810%29%29%5E2
2s%5E2=10
s%5E2=5
highlight%28s=sqrt%285%29%29

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+x^2=100
2x^2=100
x^2=50
x=5 in

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let s=length of a side of the square
s^2+s^2=10^2 Pythagoras
2s^2=100
s^2=50
s=sqrt(25*2) square root of each side.
s=5sqrt(2)
.
Ed