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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=6\ c m` , `D B=9\ c m` and `A E=8\ c m` , find `A C` .

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(i) 6.43 (ii) 17 cm (iii) x=4 (iv) x=1
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6a
  1. In the given figure if PQ||YZ. Find XQ.

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  2. Da n dE are respectively the points on the side A Ba n dA C of a A B ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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