# How do you find the distance between (5,-8), (-8,6)?

Mar 8, 2018

Use the pyathorem theorem and find the change in x and y to find the distance of the hypothenuse

#### Explanation:

${A}^{2} + {B}^{2} = {C}^{2}$
Let A = the change in x
Let B = the change in y
Let C = the distance between the points

The change in x = $5 - \left(- 8\right) = 13$
The change in y = $- 8 - 6 = - 14$

${C}^{2} = {13}^{2} + - {14}^{2}$

${C}^{2} = 169 + 196$

${C}^{2} = 365$

$C = 19.1$ or 19 to two significant digits.

The distance between the two points is approximately 19