What is the distance between $(6,5)$ and $(1,7)$ ?

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Answer 1 · 2015-11-25T02:57:52

$=color(blue)(sqrt(29)$

$(6,5)=color(blue)((x_1,y_1)$
and,

$(1,7)=color(blue)((x_2,y_2)$

The distance formula goes as follows:

distance $=color(blue)(sqrt((x_2-x_1)^2 + (y_2-y_1)^2)$

$=sqrt((1-6)^2 + (7-5)^2)$

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

$=sqrt(25+4)$

$=color(blue)(sqrt(29)$

What is the distance between (6,5)(6,5) and (1,7)(1,7)?