How much longer is CD compared to AB ? Round your solution to 2 decimal points.
Accepted Solution
A:
Answer:Segment CD is 0.66 units longer than segment AB.Explanation:Use the distance formula (Pythagoras) between two points to find the length of each segment:[tex]length=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]1) Segment AB:Coordinates of point A: (-11,4)Coordinates of point B: (-8,8)[tex]length=\sqrt{(-8-(-11))^2+(8-4)^2}=\sqrt{(3)^2+(4)^2}}=\sqrt{9+16}=\sqrt{25}=5[/tex]2) Segment CD:Coordinates of point C: (3,2)Coordinates of point D: (7, -2)[tex]length=\sqrt{(7-3)^2+(-2-2)^2}=\sqrt{(4)^2+(4)^2}}=\sqrt{16+16}=\sqrt{32}[/tex]3) Difference:[tex]\sqrt{32} -5=5.66-5=0.66[/tex]