What is the distance between $(3, 5)$ and $(–5, 13)$ ?

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Answer 1 · 2015-12-11T07:45:31

Apply the distance formula to find that the distance is $8sqrt(2)$

Applying the Distance Formula with $(x_1, y_1) = (3, 5)$ and $(x_2, y_2) = (-5, 13)$ gives us

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

$= sqrt((-5-3)^2+(13-5)^2)$

$= sqrt(64 + 64)$

$=sqrt(128) = 8sqrt(2)$

What is the distance between (3, 5)(3, 5) and (–5, 13) (–5, 13) ?