SOLUTION: find the length of the median from A to BC, in triangle ABC with A(4,6), B(-5,-3), and C(-5,13).

Algebra ->  Triangles -> SOLUTION: find the length of the median from A to BC, in triangle ABC with A(4,6), B(-5,-3), and C(-5,13).      Log On


   

Question 305506: find the length of the median from A to BC, in triangle ABC with A(4,6), B(-5,-3), and C(-5,13).
Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
by definition the median of a triangle vertex is the line from the vertex to the midpoint of the subject line. Clearly the midpoint of bc is located at (-5,(13-3)/2) = (-5,5). So we only need the distance from (4,6) to (-5,5)
dist+=+sqrt%28+%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29+
dist+=+sqrt%28+%285-6%29%5E2%2B%28-5-4%29%5E2%29+
dist+=+sqrt%28+%28-1%29%5E2%2B%28-9%29%5E2%29+
dist+=+sqrt%28+1%2B81%29+
dist+=+sqrt%28+82%29