SOLUTION: Find the lengths of the medians of a triangle whose vertices are (1,5), (5,-1) and C(11,9)

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Question 1198124: Find the lengths of the medians of a triangle whose vertices are (1,5), (5,-1)
and C(11,9)

Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

Find the end-point of each median as a mid-point of the opposite side.

Then apply the distance formula for each median.


There is nothing except the mechanical calculations in this problem.

So, having these instructions, everybody can solve it



Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Finding one median and its length, as an example:
(1,5),
(5,-1) I. Midpoint ( 6/2, 4/2) = (3, 2)
II. Distance from (11,9) to (3,2) = sqrt%288%5E2+%2B+7%5E2%29 = 10.63 rounded
___
(11,9)
(5,-1) I. Midpoint ( 8, 4)
II. Distance from (11,9) to (1,5)= sqrt%2810%5E2+%2B+4%5E2%29
etc