Home
Class 9
MATHS
In the fig. AD is a median of triangleAB...

In the fig. AD is a median of `triangleABC`. If BL and CM are drawn perpendicular on AD and AD produced, prove that BL=CM

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • SURFACE AREAS AND VOLUMES

    MODERN PUBLICATION|Exercise EXERCISE|228 Videos

Similar Questions

Explore conceptually related problems

In the fig. AD is a median of triangle ABC and E is the mid point of AD, also BE meets AC in F. prove that AF=1/3AC

AD is a median of DeltaABC . Is AB + BC + CA gt 2AD ?

In fig. ABCD is a quadrilateral and L and M are respectively points on AD and CD such that AB=BC, angleABL=angleCBM and angleLBD=angleMBD . Prove that BL=BM.

In the fig. BL and DM are bisector perpendicular to the segment AC and BL=DM find that AC bisects BD

In fig., AD is a median of a triangle ABC and AM bot BC.Prove that :- AC^2+AB^2= 2AD^2+1/2BC^2 . .

Let AD be a median of the Delta ABC . If AE and AF are medians of the triangle ABD and ADC, respectively, and BD=a/2 AD = m_(1), AE = m_(2), AF = m_(3), " then a^(2)/8 is equal to

AD is a median of the triangle ABC. Is it true that AB+BC+CA>2AD? Give reasond for your answer.

If AD and PM are medians of triangles ABC and PQR, respectively where triangleABC~ trianglePQR , Prove that (AB)/(PQ)=(AD)/(PM) . .

In fig., AD is a median of a triangle ABC and AM bot BC.Prove that :- AC^2=AD^2+BC.DM+((BC)/2)^2 . .

In fig., AD is a median of a triangle ABC and AM bot BC.Prove that :- AB^2=AD^2-BC.DM+((BC)/2)^2 . .

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In the fig. C is the mid point of AB. If angleDCA=angleECB and angleDB...

    Text Solution

    |

  2. In the fig. BAbotAC and DEbotEF such that BA=DE and BF=DC. Prove that ...

    Text Solution

    |

  3. In the fig. AD is a median of triangleABC. If BL and CM are drawn perp...

    Text Solution

    |

  4. In the fig. triangle AB=AC and bisectors of angleB and angleC meet at ...

    Text Solution

    |

  5. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  6. In the fig, PQR is an equilateral triangle and QRST is a square. Prove...

    Text Solution

    |

  7. Prove that the median from the vertex of an isosceles triangle is the ...

    Text Solution

    |

  8. In the fig. ABCD is square and P is a point on such that PB=PD. Prove ...

    Text Solution

    |

  9. In the fig. :ABCD is a quadrilateral in which AD=AB and BC=DC. Prove t...

    Text Solution

    |

  10. In the fig. :ABCD is a quadrilateral in which AD and BC=DC. Prove that...

    Text Solution

    |

  11. In the fig. P is a point in the interior of angleAOB, PLbotOA and PMbo...

    Text Solution

    |

  12. In the fig. ABCD is a square M is the mid point and PQ bot CM meets AD...

    Text Solution

    |

  13. In the fig. ABCD is a square M is the mid point and PQ bot CM meets AD...

    Text Solution

    |

  14. In triangle ABC, if angleA=40^@ and angleB=60^@. Determine the longest...

    Text Solution

    |

  15. In triangle ABC, if angleA=90^@ and angleB=35^@ which is the longest s...

    Text Solution

    |

  16. In triangleABC, if angleB=angleC=45^@which is the longest side?

    Text Solution

    |

  17. Is it possible to draw a triangle with sides of the lenghts 2 cm, 3 cm...

    Text Solution

    |

  18. In triangleABC, side AB is produced to D such that BD=BC. If angleB=60...

    Text Solution

    |

  19. In triangleABC, side AB is produced to D such that BD=BC. If angleB=60...

    Text Solution

    |

  20. In triangleABC, if the AD is a bisector of angleA show that AB>BD and ...

    Text Solution

    |