A courtyard is shaped like a square with 250-ft long sides. What is the distance from one corner of the courtyard to the opposite corner?

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Answer 1 · 2018-02-26T16:19:57

#353.55# feet.

We have a right-angled triangle. The relationship between the lengths of the hypotenuse, #c#, and the other sides, #a# and #b#, is given by:

#a^2+b^2=c^2#.

Here, #a=b=250#. Simply inputting:

#250^2+250^2=c^2#

#c^2=125000#

#c=sqrt(125000)#

#c=353.55"ft"#