Question

find the distance between the point a(1,7) b(4,2)​

Answer 1

Answer:

$\sqrt{34}$

Step-by-step explanation:

Distance between two points is given by

$d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

where

$x_{2}=4\\x_{1}=1\\y_{2}=2\\y_{1}=7$

the distance between the points is

$+d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}d= \sqrt{(4-1)^2+(2-7)^2}\\d=\sqrt{3^2+(-5)^2} \\d=\sqrt{9+25} \\d= \sqrt{34}$