Question

The vertices of the triangle ABC are A(I,7), B(9-2) and c (3,3). Find the slope and equation of the median through A

Answer 1

Answer:

Median through A will divide CB into two equal parts, and the new point( say D ) will be the mid point of CB.

Using mid point formula:

Co. of D = ( {9+3}/2 , {-2+3}/2 )

Co. of D = ( 6, 1/2 )

Slope of AD -

= > { 7 - 1/2 } / { 1 - 6 }

= > ( 13/2 ) / (-5)

= > - 13/10

Hence, eq. is

= > ( y - 1/2 ) = (-13/10) ( x - 6 )

= > 10y - 5 = - 13x + 78

= > 13x + 10y - 83 = 0