Home
Class 9
MATHS
In Figure, B D and C E are two altitudes...

In Figure, `B D` and `C E` are two altitudes of a ` A B C` such that `B D=C Edot` Prove that ` A B C` is isosceles.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

A D\ a n d\ B E are respectively altitudes of A B C such that A E=B D . Prove that A D=B E .

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 Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D=E Cdot Prove that A B=A C

In Figure, A D\ a n d\ B E are respectively altitudes of an isosceles triangle A B C with A C=B Cdot Prove that A E=B D

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D

B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

In Fig.47, B D\ a n d\ C E are altitudes of DeltaA B C and B D=C Edot Is DeltaB C D~=DeltaC B E ? State the three pairs or matching parts you have used to answer (i)

In figure D is a point on side BC of a DeltaA B C such that (B D)/(C D)=(A B)/(A C) . Prove that AD is the bisector of /_B A C .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. In Figure, A B C\ a n d\ D B C are two isosceles triangles on the s...

    Text Solution

    |

  2. In Figure, A B C\ a n d\ D B C are two triangles on the same base...

    Text Solution

    |

  3. In Figure, B D and C E are two altitudes of a A B C such that B D=C...

    Text Solution

    |

  4. In Figure, /Q P R=\ /P Q R\ a n d\ M\ a n d\ N are respectively on ...

    Text Solution

    |

  5. A D\ a n d\ B E are respectively altitudes of A B C such that A E=B...

    Text Solution

    |

  6. In Figure, A D\ a n d\ B E are respectively altitudes of an isoscel...

    Text Solution

    |

  7. In Figure, line segments A B is parallel to another line segment C...

    Text Solution

    |

  8. In Figure, line segments A B is parallel to another line segment...

    Text Solution

    |

  9. In two right triangles one side an acute angle of one are equal to ...

    Text Solution

    |

  10. If the bisector of the exterior vertical angle of a triangle be par...

    Text Solution

    |

  11. In an isosceles triangle, if the vertex angle is twice the sum of t...

    Text Solution

    |

  12. P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the ...

    Text Solution

    |

  13. In a A B C , it is given that A B=A C and the bisectors of /B\ a n d\...

    Text Solution

    |

  14. P is a point on the bisector of an angle /A B Cdot If the line thro...

    Text Solution

    |

  15. Prove that each angle of an equilateral triangle is 60^0

    Text Solution

    |

  16. Angle A ,\ B ,\ C of a triangle A B C are equal to each other. Prov...

    Text Solution

    |

  17. A B C is a triangle in which /B=2/C. D is a point on B C such that A D...

    Text Solution

    |

  18. A B C is a right angled triangle in which /A=90^0a n d\ A B=A Cdot ...

    Text Solution

    |

  19. In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D...

    Text Solution

    |

  20. A B C D is a parallelogram, if the two diagonals are equal, find the...

    Text Solution

    |