A square park has a diagonal walkway from one corner to another. If the walkway is about 38 yards long, what is the approximate length of each side of the park?
\[19*\sqrt{2}\]
Let x = length of side of square park. The diagonal would be the \[\sqrt{x ^{2}+x ^{2}}=\sqrt{2x ^{2}}\]
my answer is correct anyway
\[\sqrt{2x ^{2}}=38\]Square both sides of the equation getting: \[2x ^{2}=38^{2}=1444\]\[x ^{2}=722\]\[x=\sqrt{722}\]
can i sove it a(squared) + b(squared)= c(squared) ??
Yes and since it is square, the sides are all equal, then you do not need to have but one unknown.
As you can determine from my first post, the two sides are squared, and summed and the square root taken. You must take the square root in order to obtain c otherwise you would have c^2
My answer was correct and much simpler
\[\sqrt{722}=\sqrt{361}\sqrt{2}=19\sqrt{2}\]
Simplifying my results, I was attempting to show the steps that were taken to obtain the simple answer.
A cryptic answer does not necessarily provide the kind of help a serious student may require.
summerflower did you follow with understanding?
not really... im confused on how you got 772 and square root all that. sorry im just stuck on the pythagorean theorem stuff
OK I will draw (show and tell)|dw:1318182893941:dw|
Join our real-time social learning platform and learn together with your friends!