Answered

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Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)

Sagot :

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: [tex]\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }[/tex]

i) CD=[tex]\sqrt{(4-4)^2 +(-1+5)^2}[/tex]

  CD=[tex]\sqrt{0+4^2}[/tex]

  CD=4 units

ii) DE=[tex]\sqrt{(4-2)^{2}+(-5+3)^2 }[/tex]

 DE=[tex]\sqrt{(2)^2+(-2)^2}[/tex]

 DE=[tex]\sqrt{8}[/tex]

 DE= 2 units

iii) ED=[tex]\sqrt{(2-4)^2+(-3+1)^2}[/tex]

   ED=[tex]\sqrt{(-2)^2+(-2)^2}[/tex]

   ED=[tex]\sqrt{8}[/tex]

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

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