`DeltaABC` is an isoscelestriangle in which AB = AC. Side BA is produced to D such that AD = AB. Show that `angleBCD` is a right angle (see Fig.
).

In the fig. ABC is a triangle in which AB=AC side BA is produced to D such that AB=AD prove that angle=BCD=90^@

In DeltaABC , AB = AC and side BA is produced to D such that AB = AD then angleBCD is equal to :

In a triangle ABC, D is the mid point of side AC such that BD=1/2AC . Show that angleABC is a right angle.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that AD bisects BC.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that AD bisects BC.

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB (see Fig. 8.14). Show that (i) angle DAC = angle BCA and (ii) ABCD is a parallelogram.

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that:- AD bisects BC

In the fig. AC>AB and D is the point on AC such that AB=AD. Show that BC>CD

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that:- AD bisects angle A .

In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see Fig. 7.29). Show that AD = AE.