In figure E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If `A D_|_B C` and`E F_|_A C` , prove that`DeltaA B D DeltaE C F` .

In Fig E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If ADbotBCandEFbotAC , prove that DeltaABD ~DeltaECT

In FIg. 6.40, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD_|_BC and EF_|_AC , prove that triangleABD~triangleECF .

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) A B D E C F (ii) A BxxE F=A DxxE C . (FIGURE)

In the given figure, E is a point on side CB produced of an isosceles Delta ABC with AB=AC. . If AD bot BC and EF bot AC , prove tha Delta ABD~ Delta ECF

In Fig. 4.124, E is a point on side C B produced of an isosceles triangle A B C with A B=A C . If A D_|_B C and E F_|_A C , prove that (i) △ABD∼△ECF (ii) A BxxE F=A DxxE C . (FIGURE)

In Figure, A D\ a n d\ B E are respectively altitudes of an isosceles triangle A B C with A C=B Cdot Prove that A E=B D

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

D and E are points on equal sides A B and A C of an isosceles triangle A B C such that A D=A E . Prove that B ,C ,D ,E are concylic.

The incircle of an isosceles triangle ABC , with AB=AC , touches the sides AB , BC , CA at D,E and F respectively. Prove that E bisects BC .

The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively . Prove that BD = DC.