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. 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 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) △ABD∼△ECF (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 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

D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD=AE .Prove that B,C,D,E are concylic.

D and E are points on equal sides AB and AC of an isosceles triangle ABC such that AD=AE. Prove that B,C,D,E are concylic.

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 .