Respuesta :

abidemiokin

Answer:

6.33

Step-by-step explanation:

Given the coordinates;

G(-4,2), O(5,-1), and T(10,8).

Midpoint of GT is expressed as;

M = (-4+10/2, 2+8/2)

M = (6/2, 10/2)

M = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

MO = √(3-5)²+(5+1)²

MO = √2²+6²

MO = √4+36

MO = √40

MO  = 6.33

Hence the length of the segment joining the midpoint of GT and O is 6.33

The  length of the segment joining the midpoint of GT and O is 6.33.

  • The calculation is as follows;

Midpoint of GT is expressed as;

[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]

 = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]  

= 6.33

Learn more: brainly.com/question/16911495

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