#A(-2, -1), B(2, 2), C(-1, -4), D(3,-1)#. What is the length of #AB# and #CD#?

1 Answer

#AB=5#
#CD=5#

Explanation:

Given #A(-2, -1)# and #B(2, 2)# and #C(-1, -4)# and #D(3, -1)#

Distance #AB#

#AB=sqrt((2--1)^2+(2--2)^2)=sqrt(3^2+4^2)=sqrt(9+16)=sqrt25=5#

#CD=sqrt((-1--4)^2+(3--1)^2)=sqrt((-3)^2+4^2)=sqrt(9+16)=sqrt25=5#

God bless....I hope the explanation is useful.