Answer :
A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght [tex]AB= \sqrt{9^2+0^2}= \sqrt{81} =9[/tex]
BC = [2-4,0-5]=[-2,-5]
Lenght [tex]BC=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
CD = [-5-2,-2-0]=[-7,-2]
Lenght [tex]CD=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}[/tex]
DA =[-5-(-5),-2-5]=[0,-7]
Lenght [tex]DA=\sqrt{0^2+(-7)^2}=\sqrt{49}=7[/tex]
sorted from longest to shortest:
AB, CD,DA,BC
[tex]\sqrt{81}, \sqrt{53}, \sqrt{49}, \sqrt{29}[/tex]
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght [tex]AB= \sqrt{9^2+0^2}= \sqrt{81} =9[/tex]
BC = [2-4,0-5]=[-2,-5]
Lenght [tex]BC=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}[/tex]
CD = [-5-2,-2-0]=[-7,-2]
Lenght [tex]CD=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}[/tex]
DA =[-5-(-5),-2-5]=[0,-7]
Lenght [tex]DA=\sqrt{0^2+(-7)^2}=\sqrt{49}=7[/tex]
sorted from longest to shortest:
AB, CD,DA,BC
[tex]\sqrt{81}, \sqrt{53}, \sqrt{49}, \sqrt{29}[/tex]
