What is the distance between $(2,5)$ and $(5, –3)$ ?

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Answer 1 · 2015-12-08T03:57:57

The distance $=color(blue)(sqrt73$

Let,

$(2,5) =color(blue)( (x_1,y_1)$ , and

$(5,-3) =color(green)( (x_2,y_2)$

The distance can be calculated using formula:

Distance $=sqrt((x_1-x_2)^2 +(y_1-y_2)^2)$

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

$=sqrt((-3)^2 +(8)^2)$

$=sqrt((9+64)$

$=color(blue)(sqrt73$

What is the distance between (2,5) (2,5) and (5, –3)(5, –3)?