Question

in triangle abc angle A equal to60 degree angle B equal to 70 degree and Angle c equal to 50 degree. D E and F are the midpoints of the side BC AC and Ab respectively find the measure of the angle of the Triangle formed by joining the midpoint of the side of triangle ABC

Answer 1

We have∠A=60°∠B=70°∠C=50°According to mid point theorem: Line joining mid points of two sides of triangleis parallel to third side:⇒FE∥BC⇒FE∥BD and FE∥DC....(1)ED∥AB⇒ED∥AF and ED∥FB....(2)FD∥AC⇒FD∥AE and FD∥EC....(3)From (1) , (2) and (3), we conclude that:AFDE,BFED,DFEC are paralleogramOpposite angles of parallelogram