How do you find the distance between points (5,2), (3,-3)?

Question

2115 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-13T14:50:53

Basically use the formula $a^2 + b^2 = c^2$ . where
$a = "the change in " x,$
$b = " the change in " y$
$c = "the distance between them. "$

$x$ and $y$ form the legs of a ninety degree triangle so the equation
$a^2 + b^2 = c^2$ can be used to find the distance between the two points.

The length of the $x$ line can be found by subtracting the two values for $x$ in the two points

$x_1 - x_2 = a$

$5 -3 = 2$ so, $a$ the distance for $x$ is 2

The length of the $y$ line can be found by subtracting the two values for $y$ in the two points

$y_1 -y_2 = b$

$2 -(-3) = 5$ so, $b$ the distance for $y$ is 5

$2^2 + 5^2 = c^2$

$4 + 25 = c^2$

$29 = c^2$

$sqrt 29 = sqrt c^2$

$5.4 = c$