What is the distance between $(5,3)$ and $(3,7)$ ?

Question

2649 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-06T15:12:10

The distance $=2sqrt(5)$

The points are:
$(5,3) = color(blue)(x_1,y_1$
$(3,7) = color(blue)(x_2,y_2$

The distance is calculated using formula:
distance $=sqrt((x_2-x_1)^2 + (y_2-y_1)^2$

$=sqrt((3-5)^2 + (7-3)^2$

$=sqrt((-2)^2 + (4)^2$

$=sqrt((4 +16)$

$=sqrt((20)$

On further simplification of $sqrt20$ :

$=sqrt(2*2*5)$

$=2sqrt(5)$

What is the distance between (5,3)(5,3) and (3,7) (3,7) ?