Question

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

Answer 1

5

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.

Answer 2

d=5

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