Question

10.

A, B and C are the points (3, 4, (7,3) and (-2, 1) respectively. Obtain the
equation of the median through B of triangle ABC.

Answer 1

`y=(1)/(13) x+(32)/(13).`

Explanation:

1. the midpoint of the side AC is:

`D:((3-2)/(2);(4+1)/(2))=(0.5;2.5).`

2. if the coordinates of the points B and D are (7;3) and (0.5;2.5) respectively, then it is possible to make up the required equation of the median BD:

`(x-7)/(7-0.5)=(y-3)/(3-2.5); \ (x-7)/(13)=(y-3)/(1)`

or

`y=(1)/(13) x+(32)/(13)`