Home
Class 9
MATHS
If the bisector of the exterior vertical...

If the bisector of the exterior vertical angle of a triangle be parrallel to the base, show that the triangle is isosceles.

Promotional Banner

Topper's Solved these Questions

  • Surface Areas and Volumes

    MBD|Exercise Exercise|226 Videos

Similar Questions

Explore conceptually related problems

Can the exterior angle of a triangle be a straight angle?

If the bisector of an angle of a triangle also bisects the opposite side, prove that triangle is isosceles.

If altitudes from two vertices of a triangle to the opposite sides are equal prove that the triangle is isosceles.

If bisector of a vertical angle bisects the base then triangle is :

An exterior angle of a triangle is equal to the sum of the two interior opposite angles.

P is a point on the bisector of an angle angleABC . If the line through P parallel to AB meets BC at Q. prove that triangle BPQ is isosceles.

Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.

Exterior angle of a triangle is equal to sum of any two interior angles.

If the base of an isosceles triangle is produced both ways, show that the exterior angles so formed are equal.

MBD-Triangles-Exercise
  1. If the bisector of an angle of a triangle also bisects the opposite si...

    Text Solution

    |

  2. If the base of an isosceles triangle is produced both ways, show that ...

    Text Solution

    |

  3. If the bisector of the exterior vertical angle of a triangle be parral...

    Text Solution

    |

  4. ABCD is a square and DEC is an equilateral triangle. Prove that AE = B...

    Text Solution

    |

  5. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  6. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  7. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  8. DeltaABC and DeltaDBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  9. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

    Text Solution

    |

  10. AD is an altitude of an isosceles triangle ABC in which AB = AC. Show ...

    Text Solution

    |

  11. Two sides AB and BC and median AM of one triangle ABC are respectively...

    Text Solution

    |

  12. Two sides AB and BC and median AM of one triangle ABC are respectively...

    Text Solution

    |

  13. BE and CF are two equal altitudes of a triangle ABC. Using RHS congrue...

    Text Solution

    |

  14. ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that...

    Text Solution

    |

  15. P is a point equidistant from two lines l and m intersecting at point ...

    Text Solution

    |

  16. The image of an object placed at a point before a plane mirror LM is s...

    Text Solution

    |

  17. Show that in a right angled triangle, the hypotenuse is the longest si...

    Text Solution

    |

  18. In Fig. , sides AB and AC of DeltaABC are extended to points P and Q ...

    Text Solution

    |

  19. In Fig. , angleB < angleA and angleC < angleD. Show that AD < BC.

    Text Solution

    |

  20. In DeltaABC, BC = 3.6 cm, CA = 2.8 cm. AB = 3.4 cm, arrange the angles...

    Text Solution

    |