(Solved): A median of a triangle is a line segment from a vertex to the midpoint of the opposite side. a Sho ...

A median of a triangle is a line segment from a vertex to the midpoint of the opposite side. a Show that [OP] has equation \( c x-(a+b) y=0 \). b Show that \( [\mathrm{AQ}] \) has equation \( c x-(b-2 a) y=2 a c \). c Prove that the third median [BR] passes through the point of intersection \( G \) of medians [OP] and [AQ].