In `DeltaABC, AB = AC` and D is a point in BC so that `BD=CD`. Prove that AD bisects `angleBAC`.

In Delta ABC, AB = AC and D is a point an side AC such that AD = BD = BC . Show that : angle ADB = 108 ^(@)

In Delta ABC, AB =AC and D is a piont in side BC such that AD bisect angle BAC. Show that AD is perpendicular bisector of side BC.

ABC is a triangle in which AB = AC and D is a point on AC such that BC^2 = AC xx CD .Prove that BD = BC .

If D is a Point on the side BC of a Delta ABC such that AD bisects angleBAC . Then

In the given figures, AB > AC and D is any point on BC. Prove that : AB >AD.

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects angle BAD

In an isosceles triangle ABC, AB = AC and D is a point on BC produced. Prove that : AD^(2)=AC^(2)+BD.CD

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

In a quadrilateral ABCD, AB = AD and CB = CD. Prove that : (i) AC bisects angle BAD (ii) AC is perpendicular bisector of BD.

In triangle ABC, D is a point in side AB such that AB = 4AD and E is a point in AC such that AC = 4AE. Show that BC : DE = 4:1