Home
Class 10
MATHS
D and E are points on the sides A B a...

`D` and `E` are points on the sides `A B` and `A C` respectively of a ` A B C` such that `D E B C` and divides ` A B C` into two parts, equal in area, find `(B D)/(A B)` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If D and E are points on sides A B and A C respectively of a triangle A B C such that D E || B C and B D=C E . Prove that A B C is isosceles.

D and E are points on sides AB and AC respectively of Delta A B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E||B C .

D and E are points on sides AB and AC respectively of DeltaA B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E\ ||\ B C .

In A B C ,\ D and E are points on sides A B and A C respectively such that A DxxE C=A ExxD B . Prove that D E B C .

In Figure, D , E are points on sides A B and A C respectively of A B C , such that a r( B C E)=a r( B C D)dot Show that DE ll BC .

In Figure, D , E are points on sides A B and A C respectively of /_\A B C , such that a r( B C E)=a r( B C D) . Show that DE||BC .

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 .

In a A B C ,D and E are points on sides A B a n d A C respectively such that B D=C E . If /_B=/_C , show that DE || BC .

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=4 , A E=8 , D B=x-4 , and E C=3x-19 , find x .

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=2\ c m , A B=6\ c m and A C=9\ c m , find A E . .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2...

    Text Solution

    |

  2. D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B resp...

    Text Solution

    |

  3. D and E are points on the sides A B and A C respectively of a A...

    Text Solution

    |

  4. Two isosceles triangles have equal vertical angles and their areas ...

    Text Solution

    |

  5. In Fig. 4.176, X Y|| A C and X Y divides triangular region A B C ...

    Text Solution

    |

  6. Triangles A B C and D E F are similar. If area ( A B C)=16\ c m^2 ,...

    Text Solution

    |

  7. Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 ,...

    Text Solution

    |

  8. In Fig. 4.177, A C B ∼ A P Q . If B C=10 c m , P Q=5c m , B A=6. 5...

    Text Solution

    |

  9. The areas of two similar triangles are 81\ c m^2 and 49\ c m^2 resp...

    Text Solution

    |

  10. The areas of two similar triangles are 169\ c m^2 and 121\ c m^2 re...

    Text Solution

    |

  11. Two isosceles triangles have equal vertical angles and their areas ...

    Text Solution

    |

  12. The areas of two similar triangles are 25\ c m^2 and 36\ c m^2 resp...

    Text Solution

    |

  13. The corresponding altitudes of two similar triangles are 6 cm and 9...

    Text Solution

    |

  14. A B C is a triangle in which /A=90^o,\ \ A N|B C ,\ \ B C=12 c m and...

    Text Solution

    |

  15. In Fig. 4.178, D E∥ B C (FIGURE) (i) If D E=4c m , B C=6c m and Are...

    Text Solution

    |

  16. In A B C ,\ D and E are the mid-points of A B and A C respectively...

    Text Solution

    |

  17. In Figure, /\ A B C and /\ D B C are on the same base B C . If A D a...

    Text Solution

    |

  18. A B C D is a trapezium in which AB is parallel to CD . The diagona...

    Text Solution

    |

  19. In A B C , P divides the side A B such that A P : P B=1:2 . Q is a ...

    Text Solution

    |

  20. The areas of two similar triangles are 100\ c m^2 and 49\ c m^2 res...

    Text Solution

    |