Question

Given A(6, -2) and B(-4, 8), find the length of segment AB. Enter only a number. Round your answer to the nearest hundredth, if necessary.

Answer 1

Explanation:

Formula

AB = sqrt( (x2 - x1)^2 + (y2-y1)^2 )

Givens

x2 = 6

x1 = - 4

y2 = -2

y1 = 8

Solution

AB = sqrt( (6 - - 4)^2 + (-2 - 8)^2 )

AB = sqrt(10^2 + (-10)^2 )

AB = sqrt(100 + 100)

AB = sqrt(200)

AB = 10*sqrt(2)

AB = 10* 1.4142

AB = 14.41