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

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Answer 1 · 2018-04-15T19:25:28

$=> d = 3sqrt(2)$

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

We are given:

$=> (x_1, y_1) = (2,5)$
$=> (x_2, y_2) = (5,2)$

Hence,

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

$=> d=sqrt((-3)^2+(3)^2)$

$=>d = sqrt(9+9)$

$=> d = sqrt(18)$

$=>d = sqrt(9*2)$

$=> color(green)(d = 3sqrt(2))$

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