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In Figure, A B=A CdotB E\ a n d\ C F are...

In Figure, `A B=A CdotB E\ a n d\ C F` are respectively the bisectors of `/_B` and `/_C` . Prove that ` e b c\ ~=\ F C B`

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To prove that triangle \( EBC \cong FCB \), we will follow these steps: ### Step 1: Identify Given Information We are given: - \( AB = AC \) (Sides of triangle ABC are equal) - \( BE \) and \( CF \) are the angle bisectors of \( \angle B \) and \( \angle C \) respectively. ### Step 2: Establish Equal Angles ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /A B D=/A C D

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  2. \ a b c is an isosceles triangle with A B=A Cdot Side B Ais produced...

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  3. In Figure, A B=A CdotB E\ a n d\ C F are respectively the bisectors ...

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  4. If A B C is an isosceles triangle with A B=A Cdot Prove that the ...

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  5. If the altitudes from two vertices of a triangle to the opposite sid...

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  6. In Figure, it is given that /A=/C\ a n d\ A B=B Cdot Prove that A B...

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  7. A D\ a n d\ B C are equal perpendiculars to a line segment A B . Sho...

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  8. In A B C ,\ A B=A C , and the bisectors of angles B\ a n d\ C inter...

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  9. In Figure, it is given that A B=E F ,\ B C=D E ,\ A B\ |B D\ a n d\ ...

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  10. In Figure, it is given that A B=B C\ a n d\ A D=E Cdot Prove that a...

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  11. In Figure, l||m and M is the mid-point of the line segment A B . Pro...

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  12. In Figure, line l is the bisector of angle A\ a n d\ B is any point ...

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  13. In Figure, A D is a median and B L ,\ C M are perpendiculars drawn f...

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  14. In Figure, B M\ a n d\ D N are both perpendiculars to the segments A...

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  15. In a right angled triangle, one acute angle is double the other. Pro...

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  16. A triangle A B C is an isosceles triangle if any one of the followin...

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  17. A triangle A B C is an isosceles triangle if any one of the followi...

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  18. In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A ...

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  19. In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n d...

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

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