SOLUTION: I'm having some trouble with the following problem, I think I'm missing a step somewhere. Find the lengths of the medians of the triangle with vertices A(1, 3), B(3, 5), and C(7

Algebra ->  Equations -> SOLUTION: I'm having some trouble with the following problem, I think I'm missing a step somewhere. Find the lengths of the medians of the triangle with vertices A(1, 3), B(3, 5), and C(7      Log On


   

Question 197056: I'm having some trouble with the following problem, I think I'm missing a step somewhere.
Find the lengths of the medians of the triangle with vertices A(1, 3), B(3, 5), and C(7, 1). (A median is a line segment from a vertex to the midpoint of the opposite side.) Give your answers correct to one decimal place.
?=units (length of median AA')
?=units (length of median BB')
?=units (length of median CC')
thanks!
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 three midpoints.

and



Then use the distance formula to compute the distance from each vertex to the appropriate midpoint:



John