SOLUTION: Given the vertices A(7,9) B(-5,-7)and C(12,-3) of the triangle ABC find. a)the equation of the side AB b)the equation of the median through A c)the equation of the altitude thro

Algebra ->  Triangles -> SOLUTION: Given the vertices A(7,9) B(-5,-7)and C(12,-3) of the triangle ABC find. a)the equation of the side AB b)the equation of the median through A c)the equation of the altitude thro      Log On


   

Question 1118150: Given the vertices A(7,9) B(-5,-7)and C(12,-3) of the triangle ABC find.
a)the equation of the side AB
b)the equation of the median through A
c)the equation of the altitude through B
d)the eauation of the perpendicular bisector of side AB
e)the equation of the line through C with slope that of AB
f)the equation of the line through C.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Too many separate questions.

(d):
Slope for AB is 4%2F3.
Slope for any line perpendicular to AB is -3%2F4.

Midpoint of AB is at x=%287%2B%28-5%29%29%2F2=1, and y=%289%2B%28-7%29%29%2F2=1
or, point (1,1).

Perpendicular bisector for segment AB is line with the equation y-1=-%283%2F4%29%28x-1%29.

(c):
Slope for AC is -12%2F5. Any line perpendicular in same plane is of slope 5%2F12.

Altitude through B(-5,-7) is y%2B7=%285%2F12%29%28x%2B5%29.