In `DeltaABC` and `D` is the mid point of `BC` If `DL _|_ AB` and `DM _|_ AC` such that `DL = DM` prove that `AB = AC`

In DeltaABC,D is the midpoint of BC. If DL_|_AB and DM_|_AC such that DL = DM, prove that AB = AC.

In Delta ABC and D is the mid point of BC If DL perp AB and DM perp AC such that DL=DM prove that AB=AC

In the given Fig. 3, in DeltaABC, D and E are the mid point of the sides AB and AC respectively. Find the length of DE. Prove that DE = (1)/(2) 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 .

In Figure,AC>AB and D is the point on AC such that AB=AD. Prove that BC>CD

If ABC is triangle and D is the mid-point of [BC], prove that vec AB + vec AC= 2 vec AD .

ABC is an isosceles triangle with AB = AC and D is a point on AC such that BC^2=ACxxCD . Prove that BD = BC