What is the distance between $(5, 6)$ and $(-2, 4)$ ?

Question

6090 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-28T00:31:50

See a solution process below:

The formula for calculating the distance between two points is:

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

Substituting the values from the points in the problem gives:

$d = sqrt((color(red)(-2) - color(blue)(5))^2 + (color(red)(4) - color(blue)(6))^2)$

$d = sqrt((-7)^2 + (-2)^2)$

$d = sqrt(49 + 4)$

$d = sqrt(53)$

Or

$d ~= 7.28$

What is the distance between (5, 6) (5, 6) and (-2, 4)(-2, 4)?