math
posted by Corie on .
A courtyard is shaped like a square with 250ftlong sides. What is the distance from one corner of the courtyard to the opposite corner? Round to the nearest tenth.
353.6 ft
500 ft
433.0 ft
176.8 ft
can someone show me how to do this?

The diagonal of a square is sqrt2 times the length of a side. You can prove that with the Pythagorean theorem.
Sqrt2 = 1.4142
250 x sqrt2 = 353.6 
thanks. could you show me how to do another one?

Suppose each side of the square is 100 feet long.
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
100^2 + 100^2 = c^2
1,000 + 1,000 = c^2
2,000 = c^2
44.72 = c