What is the distance between #A(-4,5)# and #B(2,8)#?

1 Answer
May 29, 2018

#d# = #sqrt45# = #6.708203...#

Explanation:

Length or distance of any point in coordinate geometry obtained by #d#, = #sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

So here, #x_1 = -4#, #y_1 = 5#, #x_2 = 2# and #y_2=8#

#d# = #sqrt((2 - (-4))^2 + (8 - 5)^2)#

#d# = #sqrt(6^2 + 3^2)#

#d# = #sqrt45# = #6.708203...#