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

Algebra ->  Length-and-distance -> 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      Log On


   



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) About Me  (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:



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