What is the distance between $(5, –3)$ and $(9,1)$ ?

Question

2499 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-19T13:06:07

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:

$d = sqrt((color(red)(9) - color(blue)(5))^2 + (color(red)(1) - color(blue)(-3))^2)$

$d = sqrt((color(red)(9) - color(blue)(5))^2 + (color(red)(1) + color(blue)(3))^2)$

$d = sqrt(4^2 + 4^2)$

$d = sqrt(16 + 16)$

$d = sqrt(32)$

Or

$d = sqrt(16 * 2)$

$d = sqrt(16)sqrt(2)$

$d = 4sqrt(2)$

Or

$d = sqrt(32) ~= 5.657$

What is the distance between (5, –3) (5, –3) and (9,1)(9,1)?