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D ,\ E and F are the points on sides ...

`D ,\ E` and `F` are the points on sides `B C ,\ C A` and `A B` respectively of ` A B C` such that `A D` bisects `/_A ,\ \ B E` bisects `/_B` and `C F` bisects `/_C` . If `A B=5c m ,\ \ B C=8c m` and `C A=4c m` , determine `A F ,\ C E` and `B D` .

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The correct Answer is:
`AF = 5/3 cm, CE= 32/13 cm, BD = 40/9 cm `
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6a
  1. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

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

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  3. In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...

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  4. In the given figure DE||AC and DC||AP. Prove that (BE)/(EC) = (BC)/(C...

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  5. In a A B C ,D and E are points on sides A B a n d A C respectively su...

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  6. In A B C ,\ D and E are points on sides A B and A C respectively ...

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  7. In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.

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  8. In the given figure A, B and C are points on OP, OQ and OR respectivel...

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  9. Prove that the diagonals of a trapezium divide each other proportional...

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  10. In triangleABCthe bisector of angleB meets AC at D. A line PQ||AC meet...

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  11. The diagonals of a quadrilateral ABCD intersect each other at the poi...

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  12. In the given figure AD is the bisector of angleA. If BD= 4 cm , DC = 3...

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  13. The bisector of interior /A of A B C meets B C in D , and the bisecto...

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  14. A D is a median of A B C . The bisector of /A D B and /A D C meet A B...

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

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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. If the diagonal BD of a quadrillateral ABCD bisects both angleB and an...

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  18. Prove that the line segments joints joining the mid-points of the a...

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  19. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

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  20. In Figure, A B C D is a parallelogram in which P is the mid-point of D...

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