Home
Class 9
MATHS
The perpendicular bisectors of the sides...

The perpendicular bisectors of the sides of a triangle ABC meet at I. Prove that : IA = IB = IC.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise EXERCISE 9(B)|20 Videos

  • TRIANGLES

    ICSE|Exercise QUESTIONS|8 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. What do you call the point ?

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. What is the relation between the distances OA, OB and OC ?

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. Does the perpendicular bisector of BC pass through O?

The sides AB and AC of a triangle ABC are produced, and the bisectors of the external angles at B and C meet at P. Prove that if AB gt AC , then PC gt PB .

The internal bisectors of the angles of a triangle ABC meet the sides in D, E, and F. Show that the area of the triangle DEF is equal to (2/_\abc)/((b+c)(c+a)(a+b) , where /_\ is the area of ABC.

In triangle ABC , the internal bisector of angle A angle B and angle C meet at point I . Prove that : (1)/(2) (AB+ BC + CA) lt AI+ BI + CI

The given figure shows a triangle ABC in which AD bisects angle BAC. EG is perpendicular bisector of side AB which intersects AD at point F. Prove that : F is equidistant from AB and AC.

The equation of perpendicular bisectors of side AB,BC of triangle ABC are x-y=5 , x+2y=0 respectively and A(1,-2) then coordinate of C

If BM and CN are the perpendiculars drawn on the sides AC and BC of the Delta ABC , prove that the points B, C, M and N are concyclic.

ICSE-TRIANGLES -4 MARKS QUESTIONS
  1. The perpendicular bisectors of the sides of a triangle ABC meet at I. ...

    Text Solution

    |

  2. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  3. In a triangle ABC,D is the mid - point of BC, AD is produced upto E so...

    Text Solution

    |

  4. In a triangle ABC, D is mid-point of BC, AD is produced upto E so that...

    Text Solution

    |

  5. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  6. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  7. From the given diagram, in which ABCD is a Parallelogram, ABL is a lin...

    Text Solution

    |

  8. In the given figure, AB = DB and AC = DC. If angleABD=58^(@),angleDBC=...

    Text Solution

    |

  9. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  10. In the following figure, AB = AC and AD is perpendicular to BC. BE bis...

    Text Solution

    |

  11. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  12. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  13. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  14. In the adjoining figure, OX and RX are the bisectors of the angle Q an...

    Text Solution

    |

  15. In the following figure, OA=OC and AB=BC. Prove that : angleAO...

    Text Solution

    |

  16. In the following figure, OA=OC and AB=BC. Prove that : DeltaAOD...

    Text Solution

    |

  17. In the following figure, OA=OC and AB=BC. Prove that : AD=CD

    Text Solution

    |

  18. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  19. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  20. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |

  21. The following figure shows a triangle ABC in which AB=AC. M is a point...

    Text Solution

    |