Respuesta :
Answer:
It must be the hypotenuse of a right triangle of sides 4 and 5 miles.
Use the Pythagorean theorem:
r = √(4^2 + 5^2) miles = √41 miles ≅ 6.4 miles
The distance between the opposite corners of the city is 6.4 miles.
Given that a rectangular city is 4 miles long and 5 miles wide, to determine what is the distance between opposite corners of the city, the following calculation must be performed, applying the Pythagorean theorem:
Since two right triangles form a rectangle, the hypotenuse of both will be a line that runs through the opposite corners of the rectangle.
- 4 ^ 2 + 5 ^ 2 = X ^ 2
- 16 + 25 = X ^ 2
- √41 = X
- 6.40 = X
Therefore, the distance between the opposite corners of the city is 6.4 miles.
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