Question

if P (3,4),Q(7,-2) and R (-2,-1) are the vertices of a triangle PQR write the equation of the median of the triangle through R.

Answer 1

let Q and R be the base vertices and P be the vertex at the apex. First find the midpoint of the Q & R as the median from apex joins the midpoint of base line. Midpoint of QR is (5/2,-3/2). Now, Let us find the slope between the midpoint of these Two and P i.e., 11. Put it in the slope equation formula y-y1 = slope × (x-x1). (x1,y1) can be Vertex P or Midpoint of QR. equation comes to be 11x-y-29=0.