Home
Class 9
MATHS
In Figure, A D is a median and B L ,\ C ...

In Figure, `A D` is a median and `B L ,\ C M` are perpendiculars drawn from `B\ a n d\ C` respectively on `A D\ a n d\ A D` produced. Prove that `B L=C M`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos
  • CONSTRUCTION

    RD SHARMA|Exercise All Questions|29 Videos

Similar Questions

Explore conceptually related problems

In Figure, A D is the median and D E||A B . Prove that B E is the median.

In a A B C ,\ B M\ a n d\ C N are perpendiculars from B\ a n d\ C respectively on any line passing through Adot If L is the mid-point of B C , prove that M L=N L .

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L C M)=a r\ ( L B M)

In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Prove that C F=1/4A C

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L B C)=\ a r\ (\ M B C)

In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L O B)=a r\ (\ M O C)

B D is one of the diagonals of a quadrilateral A B C Ddot\ \ A M\ a n d\ C N are the perpendiculars from A\ a n d\ C , respectively, on B Ddot Show That a r\ (q u a ddotA B C D)=1/2B Ddot(A M+C N)

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P\ B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q)

In a A B C , If L a n d M are points on A B a n d A C respectively such that L M B Cdot Prove that: a r ( A B M)=a r ( A C L)

In Figure, B M a n d D N are both perpendiculars to the segments A C a n d B M=D N . Prove that A C bisects B D

RD SHARMA-CONGRUENT TRIANGLE -All Questions
  1. In Figure, l||m and M is the mid-point of the line segment A B . Pro...

    Text Solution

    |

  2. In Figure, line l is the bisector of angle A\ a n d\ B is any point ...

    Text Solution

    |

  3. In Figure, A D is a median and B L ,\ C M are perpendiculars drawn f...

    Text Solution

    |

  4. In Figure, B M\ a n d\ D N are both perpendiculars to the segments A...

    Text Solution

    |

  5. In a right angled triangle, one acute angle is double the other. Pro...

    Text Solution

    |

  6. A triangle A B C is an isosceles triangle if any one of the followin...

    Text Solution

    |

  7. A triangle A B C is an isosceles triangle if any one of the followi...

    Text Solution

    |

  8. In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A ...

    Text Solution

    |

  9. In Figure, A B C is an isosceles triangle with A B=A C ,\ B D\ a n d...

    Text Solution

    |

  10. In Figure, A D=A E\ a n d\ D\ a n d\ E are points on B C such that B D...

    Text Solution

    |

  11. In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

    Text Solution

    |

  12. In Figure, P S=P R ,\ \ /T P S=\ /Q P Rdot Prove that P T=P Q

    Text Solution

    |

  13. In Figure, If P Q=P T\ a n d\ /T P S=/Q P R , prove that \ P R S is is...

    Text Solution

    |

  14. In Figure, A B C\ a n d\ D B C are two isosceles triangles on the sa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. In Figure, A D\ a n d\ B E are respectively altitudes of A B C such...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |