Mediana uneste varful A cu mijlocul M al segmentului BC.
Fie M (Xm, Ym)
Xm = (Xb+Xc)/2 => Xm = (-2+(-2))/2 = -4/2 = -2 => Xm =-2
Ym = (Yb+Yc)/2 => Ym = (1+5)/2 = 6/2 = 3 => Ym = 3
=> M(-2, 3)
Formula pentru a afla ecuatia medianei AM: y-Ym=md(x-Xm), unde md e panta medianei AM si se calculeaza asa:
md = (Ym-Ya)/(Xm-Xa) = (3-2)/(-2+3) = 1/1 = 1 => md=1
AM: y-Ym=md(x-Xm) <=> AM: y-3=1(x-(-2)) <=> AM: y-3=x+2
=> AM: x-y+5=0