`triangleABC and triangleDBC` are two triangles on the same base BC. A and D lies on opposite sides of BC. Prove that `(ar(triangleABC))/(ar(triangleDBC))= (AO)/(DO)`

In figure ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that (a r(A B C))/(a r(D B C))=(A O)/(D O) .

ABC and DBC are two triangle on the same base BC such that A and D lie on the opposite sides of BC,AB=AC and DB =DC ,Show that AD is the perpedicular bisector of BC.

In triangleABC, angleB=60^(@) and angleC = 75^(@) . If D is a point on side BC such that ("ar"(triangleABD))/("ar"(triangleACD))=1/sqrt(3) find angleBAD

Triangles ABC and DBC are two isosceles triangles on the same base BC and their vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that: Delta ABP ~= Delta ACP

Triangles ABC and DBC are two isosceles triangles on the same base BC and their vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that: AP bisects angle BAC and BDC.

ABC and DBC are two isosceles triangles on the same base BC (see Fig. 7.33). Show that /_A B D\ =/_A C D

In DeltaABC, D is any point on side BC. Prove that AB+BC+CA gt 2AD

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 an equilateral triangle ABC , D is the mid-point of AB and E is the mid-point of AC. Find the ratio between ar ( triangleABC ) : ar(triangleADE)

In figure, A B C\ a n d\ B D E are two equilateral triangles such that D is the mid-point of B C . If A E intersects B C in F . Prove that: ar(triangle BFE)=2ar(triangle FED) .