SOLUTION: ABCD is a square. If the measure of diagonal AC=52 units, what is the lenght of a side?

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Question 1080863: ABCD is a square. If the measure of diagonal AC=52 units, what is the lenght of a side?
Found 2 solutions by Fombitz, amfagge92:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the length of the diagonal in terms of the side using the Pythagorean theorem,
s%5E2%2Bs%5E2=D%5E2
2s%5E2=D%5E2
Substituting,
2s%5E2=%2852%29%5E2
2s%5E2=2704
s%5E2=1352
s=sqrt%281352%29
s=26sqrt%282%29

Answer by amfagge92(93) About Me  (Show Source):
You can put this solution on YOUR website!
AC=52unit
⇒AC%5E2=CD%5E2%2BAD%5E2 pythagoras rule
52%5E2=X%5E2%2BX%5E2
2704=2X^2
X^2=1352
X=36.8
the length of a side =36.8unit.