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

Answer:

$\sqrt{13}$

Step-by-step explanation:

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

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plugging in our given points, we get:

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