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
AAAaannndd the bot gets it wrong yet again!
c^2 = 250^2 + 250^2 = 250^2 * 2
c = 250√2
The distance from one corner to the opposite corner of a square can be found using the Pythagorean Theorem, which states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the two other sides are the lengths of the sides of the square, which are both 250 feet long.
So, we can use the Pythagorean Theorem: c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
c^2 = 250^2 + 250^2
c^2 = 125,000 + 125,000
c^2 = 250,000
c = sqrt(250,000)
c = 500 feet
Therefore, the distance from one corner to the opposite corner of the courtyard is approximately 500 feet (rounded to the nearest tenth).