# 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?

Feb 26, 2018

$353.55$ feet.

#### Explanation:

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:

${250}^{2} + {250}^{2} = {c}^{2}$

${c}^{2} = 125000$

$c = \sqrt{125000}$

$c = 353.55 \text{ft}$