Home
Class 9
MATHS
D\ a n d\ E are, respectively, the po...

`D\ a n d\ E` are, respectively, the points on equal sides `A B\ a n d\ A C` of an isosceles triangle `A B C` such that `B ,\ C ,\ E ,\ a n d\ D` are concyclic as shown in Figure. If `O` is the point of intersection of `C D\ a n d\ B E ,` prove that `A O` is the bisector of line segment `D E`

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

In Figure, A B=C D . Prove that B E=D E\ a n d\ A E=C E , where E is the point of intersecting of A D\ a n d\ B C .

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 an isosceles triangle A B C with A B=A C , a circle passing through B\ a n d\ C intersects the sides A B\ a n d\ A C at D\ a n d\ E respectively. Prove that D E || B C .

B D\ a n d\ C E are bisectors of /_B\ a n d\ /_C of an isosceles A B C with A B=A C . Prove that B D=C E

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 E bisects /_C A D\ a n d\ /_B=/_Cdot Prove that A E||B C

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 B C is an isosceles triangle with A B=A C ,\ B D\ a n d\ C E are two medians of the triangle. Prove that B D=C E