A (1,4) B(-1,2) and C(5,-2) are the vertices of a triangle ABC Find the coordinate of the point where - Maths - Coordinate Geometry

Question

A (1,4) B(-1,2) and C(5,-2) are the vertices of a triangle ABC Find
the coordinate of the point where the right bisector of BC
intersects the median through C

Brijendra Pal · Accepted Answer

Hi,
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ana_qa_image_58c287eeec0e0%20png">

mid point of AB = 1-12,4+22= 0,3So equation of CE, y-3= -2-35-0x-0x+y-3=0
1Now coordinate of M =  5-12,-2+22= 2,0Slope of BC = -2-25+1= -23so slope of perpendicular line = 32so equation of perpendicular line y-0 = 32x-23x-2y-6=0
2Now solve equation 1 and 2 to get the required point
 Regards

A (1,4) B(-1,2) and C(5,-2) are the vertices of a triangle ABC. Find the coordinate of the point where the right bisector of BC intersects the median through C