Question

What is the distance between the points (2, 5) and (5,7)?

A. 5
B. square root 13
C. square root 10​

Answer 1

`√(13)`

Explanation:

The distance formula that gives the distance between two points is given as:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Plugging in our given points, we get:

`d=√((5-2)^2+(7-5)^2),\\d=√(3^2+2^2),\\d=√(9+4),\\d=\fbox{$√(13)$}`.