Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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 :

darth666
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]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.