Question

A courtyard is shaped like a square with 250ft long sides. What is the distance from one corner of the courtyard to the opposite corner?
353.6ft
500ft
433.0ft
176.8ft

Answer 1

Lets draw the square first.
As you can see in the diagram, the distance between one corner and the opposite side is the diagonal of the rectangle which divides it into tow right triangles. Since we know that in a square all the lengths have the same measure, the legs of our triangle are going to measure 250 ft.
Now, the only thing left to do is apply the Pythagorean theorem to find the hypotenuse of our triangle which is no other than the diagonal of our square:
$h= \sqrt({25}0^{2} +250^{2} )$
$h= \sqrt{125000}$
$h=353.6$
We can conclude that the distance from one corner of the courtyard to the opposite corner is 353.6 ft.