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If D and E are points on sides A B and...

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.

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RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. state if P Q||E F

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  2. M and N are points on the sides P Q and P R respectively of a P Q...

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  3. If D and E are points on sides A B and A C respectively of a trian...

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  4. In Fig. 4.41, A D is the bisector of /A . If B D=4c m , D C=3c m...

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  5. In Fig. 4.42, A D is the bisector of /B A C . If A B=10 c m . A ...

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  6. If the diagonal B D of a quadrilateral A B C D bisects both /...

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  7. If the bisector of an angle of a triangle bisects the opposite side...

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  8. In triangle A B C , if A D is the bisector of /A , prove that: (A...

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  9. B O and C O are respectively the bisectors of /B and /C of A B C ....

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  10. In a /\ A B C , A D is the bisector of /A , meeting side B C at D ...

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  11. In a /\ A B C , A D is the bisector of /A , meeting side B C at D ...

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  12. In a A B C , A D is the bisector of /A , meeting side B C at D ...

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  13. In Fig. 4.57, A E is the bisector of the exterior /C A D meeting...

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  14. In Fig. 4.58, A B C is a triangle such that (A B)/(A C)=(B D)/(...

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  15. In /\ A B C (Figure), if /1=/2 , prove that (A B)/(A C)=(B D)/(D C...

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  16. D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...

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  17. In Fig. 4.60, check whether A D is the bisector of /A of A B C in...

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  18. In given figure, check whether AD is the bisector of ∠ A of △ ABC in e...

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  19. In Fig. , A D bisects /A ,\ \ A B=12 c m ,\ \ A C=20 c m and B D=5c...

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  20. In Fig. A B||D C . Find the value of x

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