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In a ` A B C` , `A D` is the bisector of `/_A` , meeting side `B C` at `D` . If `A B=10 c m` , `A C=14 c m` and `B C=6c m` , find `B D` and `D C` (ii) If `A C=4. 2 c m` , `D C=6c m` and `B C=10 c m` , find `A B` . (iii) If `A B=5. 6 c m` , `A C=6c m` and `D C=3c m` , find `B C` .

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RD SHARMA-TRIANGLES-All Questions
  1. B O and C O are respectively the bisectors of /B and /C of A B C ....

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

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

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

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

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

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  7. In A B C (Fig. 4.59), if /1=/2 , prove that (A B)/(A C)=(B D)/(...

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

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

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

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  11. In Fig. 4.60, A D bisects /A ,\ \ A B=12 c m ,\ \ A C=20 c m and B ...

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  12. In Fig. 4.69, A B D C . Find the value of x . (FIGURE)

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  13. In Fig. 4.70 if A B C D , find the value of x . (FIGURE)

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  14. In Fig. 4.71, if A B C D , find the value of x . (FIGURE)

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  15. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

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  16. State which pairs of triangles in Figure are similar. Write the sim...

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  17. In Fig. 4.87, find /F . (FIGURE)

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  18. In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 ...

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  19. In Fig. 4.89, if E D C ~ E B A ,\ \ /B E C=115o and /E D C=70o . ...

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  20. In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE...

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