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]
