In `DeltaABC` , D , E and F are respectively the midpoints of sides AB, BC and CA( see the given figure). Show that `DeltaABC` is devided into four congruent triangles by joining D, E and F.

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

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

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

In DeltaABC , E and F are the midpoints of sides AB and AC respectively. If EF=5cm, find BC.

If D, E and F are respectively, the mid-points of AB, AC and BC in DeltaABC , then BE + AF is equal to

D, E and F are respectively the mid-points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF" and "DeltaABC .

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

AD and BC are equal perpendiculars to a line segment AB (see the given figure) Show that CD bisects AB.

In DeltaABC , E and F are the midpoints of AB and AC respectively. If EF = 4 cm, then BC= ……….. Cm

D is a point on side BC of triangle ABC such that AD = AC (see the given figure). Show that AB gt AD.