Respuesta :

Your answer is B. 48 miles. This is because the formula a² + b² = c² can be used to find the hypotenuse, which means the formula
a² - c² = b² can be used to find the side of a right triangle. This means that we can do
50² - 14² = 2304, and then we square root it to get 48.
I hope this helps!

We can use the pythagorean theorem to find the distance between the two cities. This theorem is [tex]a^2 + b^2 = c^2[/tex] where a and b are the legs of the triangle and c is the hypotenuse of the trinagle. Therefore:


[tex]14^2 + b^2 = 50^2[/tex]


[tex]196 + b^2 = 2500[/tex]


[tex]b^2 = 2304[/tex]


[tex] b = \sqrt{2304} [/tex]


[tex] b = 48[/tex]


Thus, the answer is B, 48 miles.