Question

Find the distance between (3,4) and (4,5).
a) √2
b) √3
c) √5
d) √8

Answer 1

The distance between (3,4) and (4,5) is √2.

Step-by-step explanation:

To find the distance between two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the points are (3,4) and (4,5), so we have:

d = sqrt((4 - 3)^2 + (5 - 4)^2) = sqrt(1^2 + 1^2) = sqrt(2)

Therefore, the distance between these two points is √2