the three vertices of a triangle are at A (-4,5), B(-5,3) and C (3,-4), show that the line joining the midpoint of the sides AC and BC is parallel and equal to one-half of AB . solve

Question

the three vertices of a triangle are at A (-4,5), B(-5,3) and C (3,-4), show that the line joining the midpoint of the sides AC and BC  is parallel and equal to one-half of AB . solve

Steve · Answer

AB has slope 2 and length √5 mid(AC) = (-1/2,1/2) mid(BC) = (-1,-1/2) so that segment has slope 2 and length √5/2