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

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

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,AD is a median and BL,CM are perpendiculars drawn from B and C respectively on AD and AD produced.Prove that BL=CM

In the adjoining figure, D is the mid-point of BC. If BM and CN are perpendiculars from B and C respectively on AD and AD produced, then prove that BM = CN.

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 B C , A L and C M are the perpendiculars from the vertices A and C to B C and A B respectively. If A L and C M intersect at O , prove that: (i) O M A O L C (ii) (O A)/(O C)=(O M)/(O L)

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, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C respectively and A L=C M . Prove that L M\ a n d\ B D bisect each other.

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, A B and CD are respectively the smalles and longest sides...

    Text Solution

    |

  2. Of all the line segments drawn from a point P to a line m not containi...

    Text Solution

    |

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

    Text Solution

    |

  4. In Figure, B M and D N are both perpendiculars to the segments A C and...

    Text Solution

    |

  5. If A B C is an isosceles triangle with A B=A C . Prove that the ...

    Text Solution

    |

  6. If the altitudes from two vertices of a triangle to the opposite sid...

    Text Solution

    |

  7. A D and B C are equal perpendiculars to a line segment A B . Show that...

    Text Solution

    |

  8. In A B C ,A B=A C , and the bisectors of angles B and C intersec...

    Text Solution

    |

  9. In Figure, it is given that A B=E F ,B C=D E ,A B|B D and F E|C Edot P...

    Text Solution

    |

  10. In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C ...

    Text Solution

    |

  11. In Figure, l m and M is the mid-point of the line segment A Bdot Prov...

    Text Solution

    |

  12. In Figure, line l is the bisector of angle A and B is any point on l ....

    Text Solution

    |

  13. In Figure, O is the mid point of A B and C D . Prove that A O C~= B ...

    Text Solution

    |

  14. Prove that measure of each angle of an equilateral triangle is 60^0d...

    Text Solution

    |

  15. In Figure, it is given that A E=A D and B D=C Edot Prove that A E B~=...

    Text Solution

    |

  16. In Figure, it is given that A B=C F ,E F=B D and /A F E=/C B Ddot Prov...

    Text Solution

    |

  17. Two triangles are congruent if two sides and the included angle of o...

    Text Solution

    |

  18. In DeltaABC ,/A=100^0 and A B=A Cdot Find /B and /C

    Text Solution

    |

  19. Angles opposite to two equal sides of a triangle are equal. GIVEN : ...

    Text Solution

    |

  20. In Figure, X and Y are two points on equal sides A B and A C of a A B ...

    Text Solution

    |