`Delta ABC and Delta DBC` lie on the same side of BC, show in the figure. From a point on `BC.PQ||AB and PR||BD` are drawn, meeting AC at Q, and CD at R respectively. Prove that `QA||AD`.

Delta ABC and Delta DBC lie on the same side of BC, show in the figure. From a point on BC.PQ||AB and PR||BD are drawn, meeting AC at Q, and CD at R respectively. Prove that QR||AD .

In triangle ABC, AB gt AC and D is any point on BC. Prove that, AB gt AD.

AD is a median of Delta ABC. The bisector of /_ADB and /_ADC meet AB and AC in E and F respectively.Prove that EF |BC

Delta ABC and Delta DBC are on same base BC and their vertices A and D are on opposite sides of BC. It is given that: area of Delta ABC = " area of " Delta DBC Prove that BC bisects the line segment AD.

In Delta ABC , the bisector of angle B meets AC at D. A line PQ||AC meets AB,BC and BD at P,Q and R respectively. Show that BPxxQR=BQxxPR .

triangle ABC and triangle DBC are isosceles triangles on the same base BC. Prove that line AD bisects BC at right angles

In the given figure,Delta ABC and Delta DBC are on the same base BC.If AD intersects BC at O , prove that (ar(Delta ABC))/(ar(Delta DBC))=(AO)/(DO)

Delta ABC and Delta DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E show that