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The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8). What is the length of the segment joining the m
Question
The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).
What is the length of the segment joining the midpoint of GT and O?
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Mathematics
1 year
2021-09-04T06:08:43+00:00
2021-09-04T06:08:43+00:00 1 Answers
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Answers ( )
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