Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

Quadrilateral ABCD has the following vertices.

A(-5, 5) B(4, 5) C(2, 0) D(-5, -2)

Determine the length of the sides of the quadrilateral, and arrange them in order from longest length to shortest length.

Sagot :

Darth666idn
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]

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.