Question

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

Answer 1

Answer:

$ge= \sqrt{74}$

Step-by-step explanation:

Given

$d = (-1,-1)$

$f =(4,-8)$

Required

Length of ge

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

$D = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

This gives:

$D = \sqrt{(-1-4)^2+(-1+8)^2}$

$D = \sqrt{(-5)^2+7^2}$

$D = \sqrt{74}$

This implies that:

$df = \sqrt{74}$

$ge= \sqrt{74}$