SOLUTION: The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the medians of the triangle with v
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Question 1164769: The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the medians of the triangle with vertices at A(0,2), B(4,2), and C(2,8). Find the lengths of the medians of the triangle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the midpoint formulas to find the coordinates of the midpoints of each of the sides of the triangle:
Where )
is a midpoint of one of the triangle sides and )
and )
are the vertices that are the endpoints of that side.
Once you have the midpoints, you can use the distance formula:
^2\,+\,(y_v\,-\,y_m)^2})
Where )
is any vertex and is the midpoint of the side opposite that vertex.
John
My calculator said it, I believe it, that settles it
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