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on rectangle defg, d is located at -1,-1 , F is located at 4,-8 what is length of ge

Sagot :

MrRoyal

Answer:

[tex]ge= \sqrt{74}[/tex]

Step-by-step explanation:

Given

[tex]d = (-1,-1)[/tex]

[tex]f =(4,-8)[/tex]

Required

Length of ge

The length of ge is the same as the length of df. So, we start by calculating distance gf

[tex]D = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

This gives:

[tex]D = \sqrt{(-1-4)^2+(-1+8)^2}[/tex]

[tex]D = \sqrt{(-5)^2+7^2}[/tex]

[tex]D = \sqrt{74}[/tex]

This implies that:

[tex]df = \sqrt{74}[/tex]

[tex]ge= \sqrt{74}[/tex]

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