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

`D` and `E` are the points on the sides `A B` and `A C` respectively of a triangle ` A B C` such that: `A D=8c m ,\ \ D B=12 c m ,\ \ A E=6c m` and `C E=9c m` . Prove that `B C=5//2\ D E` .

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.

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 .

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 .

D and E are points on equal sides A B and A C of an isosceles triangle A B C such that A D=A E . Prove that B ,C ,D ,E are concylic.

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 .

If D ,E and F are three points on the sides B C ,CA and A B , respectively, of a triangle A B C show that the (B D)/(C D)=(C E)/(A E)=(A F)/(B F)=-1

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 . .

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E// B C : A B=12\ c m ,\ \ A D=8\ c m ,\ \ A E=12\ c m\ a n d\ A C=18\ c m .

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E// B C : A B=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m .

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 .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. The perimeters of two similar triangles are 25cm and 15cm respectiv...

    Text Solution

    |

  2. In A B C and D E F , it is being given that: A B=5c m ,\ \ B C=4c...

    Text Solution

    |

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

    Text Solution

    |

  4. In A B C , A L and C M are the perpendiculars from the vertices A a...

    Text Solution

    |

  5. In Fig. 4.144, we have A B∥ CD∥ EF . If A B=6c m , C D=x\ c m , E F...

    Text Solution

    |

  6. In Fig. 4.145, if A B|B C , D C|B C and D E|A C , prove that C E ...

    Text Solution

    |

  7. In an isosceles triangle A B C, where CA = CB the base A B is produce...

    Text Solution

    |

  8. Diagonals A C and B D of a trapezium A BC D with A B, D C intersect ...

    Text Solution

    |

  9. If A B C and A M P are two right triangles, right angled at B and ...

    Text Solution

    |

  10. A vertical stick of length 6m casts a shadow 4m long on the ground a...

    Text Solution

    |

  11. In Fig. A B C is right angled at C and D E|A B . Prove that A...

    Text Solution

    |

  12. If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ...

    Text Solution

    |

  13. In two similar triangles A B C and P Q R , if their corresponding ...

    Text Solution

    |

  14. If ΔA B C ∼ ΔD E F such that area of ΔA B C is 9\ c m^2 and the ...

    Text Solution

    |

  15. In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot ...

    Text Solution

    |

  16. Prove that the area of the equilateral triangle described on the si...

    Text Solution

    |

  17. In Fig. 4.170, A B C D is a trapezium in which A B∥ D C and A B=2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |