A rectangular football field is 646464 meters wide and 100100100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.
How far did the player run?
Round your answer to the nearest meter.
We can use the Pythagorean Theorem to find the distance the player ran. The theorem states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the diagonal line represents the hypotenuse of a right triangle, and the length and width of the field represent the other two sides.
So, using the Pythagorean Theorem:
distance^2 = 64^2 + 100^2 + 100^2
distance^2 = 4096 + 10000 + 10000
distance^2 = 24096
distance ≈ 155.206 meters
Rounded to the nearest meter, the player ran approximately 155 meters.