Find the distance between the pair of points (7.2) and (10,6).

d=5

Step-by-step explanation:

if  (10,6)=(x1,y1) and (7,2)=(x2,y2)

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

d^2=(10-7)^2+(6-2)^2

      =3^2+4^2

      =9+16

      =25

so  d=V25=5

5

Step-by-step explanation:

Recall that "distance" is found using the Pythagorean Theorem:  in this case "distance" is the length of the hypotenuse of a right triangle whose leg lengths are given.

Here, as we move from (7, 2) to (10, 6), we see that x increases by 3 and y by 4.  Regard these two as leg lengths in a right triangle.  Find the length of the hypotenuse:

3^2 + 4^2 = 5^2

Thus, the length of the hypotenuse is 5 and the distance between the given pair of points the same.