[" Q7.If "E" and "F" are the midpoints of "],[" equal sides "AB" and "AC" of a triangle "],[ABC" .Then: "]

E and F are respec­tively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.

If D and E, are the midpoints of the sides AB and AC of a triangle ABC, prove that vec(BE) +vec(DC)=(3)/(2)vec(BC).

In the adjoining figure, P and Q are two points on equal sides AB and AC of a isosceles triangle ABC such that AP = AQ, then

If D,E and F are respectively the midpoints of the sides BC,CA and AB of an equilateral triangle ABC ,prove that /_DEF is also an equilateral triangle.

If D and E are respectively the midpoints of the sides AB and BC of triangle ABC in which AB = 7.2 cm, BC = 9.8 cm and AC = 3.6 cm then determine the length of DE.

E and F are respectively the mid-points of equal sides AB and AC of Delta ABC (see Fig. 7.28). Show that BF = CE.

If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)+bar(AC)^(2)=