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In a A B C , D and E are points on t...

In a ` A B C` , `D` and `E` are points on the sides `A B` and `A C` respectively such that `D E B C` If `A D=8x-7,\ \ D B=5x-3,\ \ A E=4x-3` and `E C=(3x-1)` , find the value of `x` . (ii) If `A D=4x-3,\ \ A E=8x-7,\ \ B D=3x-1` and `C E=5x-3` , find the volume `x` . (iii) If `A D=2. 5\ c m` , `B D=3. 0\ c m` and `A E=3. 75\ c m` , find the length of `A C` .

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RD SHARMA-TRIANGLES-All Questions
  1. In a A B C , D and E are points on the sides A B and A C respectiv...

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  2. In a A B C , D and E are points on the sides A B and A C respectiv...

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  3. In a A B C , D and E are points on the sides A B and A C respectiv...

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  4. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

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  5. In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C re...

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  6. In a A B C , P and Q are point on the sides A B and A C respective...

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  7. In a A B C , D and E are points on A B and A C respectively such ...

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  8. In Fig. 4.35, state if P Q E F . (FIGURE)

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

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

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

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

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

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

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  15. In A B C , if A D is the bisector of /A , prove that: (A r e a(...

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

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

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

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

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

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