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.

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

ABC is an isosceles triangle with AB=AC and D is a point on an BC such that ADbotBC to prove that angleBAD=angleCAD ,

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C .

In the fig. ABC, is an isosceles triangle in which AB=AC. Also D,E and F are mid point of BC, CB and AB respectively. Show that ADbotEF and AD is determined by EF

ABC is an isosceles triangle with AB=AC draw APbotBC to show that angleB=angleC

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.

ABC is an isosceles triangle in which AB = AC. If D and E are the mid-points of AB and respectively, prove that B,C,D and E are concyclic.

ABC is an isosceles triangle with AB = AC and AD is one of its altitudes. Is BD = CD? Why or why not?

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

ABC is an isosceles triangle in which altitudes BE and CF are drawn to sides AC and AB respectively (See Fig. ). Show that these altitudes are equal.