Posted by **Corie** on Wednesday, February 6, 2013 at 10:44am.

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? Round to the nearest tenth.

353.6 ft

500 ft

433.0 ft

176.8 ft

can someone show me how to do this?

- math -
**drwls**, Wednesday, February 6, 2013 at 11:03am
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

- math -
**Corie**, Wednesday, February 6, 2013 at 11:19am
thanks. could you show me how to do another one?

- math -
**Ms. Sue**, Wednesday, February 6, 2013 at 11:32am
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

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