In Figure, `B D` and `C E` are two altitudes of a ` A B C` such that `B D=C Edot` Prove that ` A B C` is isosceles. Figure

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

If D and E are points on sides A B and A C respectively of a triangle A B C such that D E || B C and B D=C E . Prove that A B C is isosceles.

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

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E

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

In Figure, it is given that A E=A D and B D=C Edot Prove that A E B~=A D C

B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D