102k views
4 votes
If a is (1,6) and b is (13,2) and c is (-7,12), what are the coordinates of the median drawn to side ab

User Kelorek
by
5.9k points

1 Answer

5 votes
check the picture below.

so, the median is drawn from "c" and will land half-way in the segment "ab", thus is called a "median", what are those coordinates? well, is just the Midpoint of ab,


\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &a&(~ 1 &,& 6~) % (c,d) &b&(~ 13 &,& 2~) \end{array}\qquad % coordinates of midpoint \left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{13+1}{2}~~,~~\cfrac{2+6}{2} \right)

and surely you'd know what that is.
If a is (1,6) and b is (13,2) and c is (-7,12), what are the coordinates of the median-example-1
User Jningthou
by
6.8k points