Question

Find the distance between (8,-4,7) and (8,5,3)

Answer 1

sqrt(97)

Explanation:

Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".

To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:

(5-(-4))^2+(3-7)^2=d^2

(9)^2+(-4)^2=d^2

81+16=d^2

97=d^2

d=sqrt(97).