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

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Answer 1 · 2018-03-08T16:37:55

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

# 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-(-8) = 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