Question

In triangle ABC, A=(3,5), B=(7,8) and C=(1,-10). Find the equation of the median through A. Pls solve it(Ans:6x+y=23) pls show each step...

Answer 1

ḷet AD be the median through A 
since AD is median
BD = CD
therefore co-ordinates of D will be =[ (7+1)/2 , (8+(-10))/2 ]
                                                       =[ 4 , -1 ]
therefore equation of AD in two point form will be 
(y-y1) / (y1-y2) = (x-x1) / (x1-x2)                .......(were y1=5 , y2=-1 , 
                                                                                     x1=3 , x2=4
:- (y-5) / 6 = (x-3) / (-1)
:- -y + 5 = 6x - 18
:- 6x + y = 23

Answer 2

Answer:

6x + y - 23 = 0

Step-by-step explanation:

Let D be the median

Coordinates of D = (7+1/2 , 8-10/2) = (8/2 , -2/2)

Coordinates of D = (4 , -1)

Slope of AD = (-1-5)/(4-3) = -6

Equation of AD = y - 5 = -6 (x - 3)

y - 5 = -6x + 18

6x + y - 23 = 0