Home
Class 9
MATHS
In the adjoining figure, AB gt AC and th...

In the adjoining figure, `AB gt AC` and the angle bisectors of `angleB` and `angleC` meet at point P. Prove that
`PB gt PC`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Type Question)|10 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7a|35 Videos

  • SURFACE AREA AND VOLUME

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure BO and CO are the bisectors of angleCBD and angleBCE respectively. If AC gt AB , prove that OB gt OC .

In DeltaABC,AB=AC and the bisectors of angles B and C intersect at point O. Prove that BO=OC

In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC and AB at point D and E respectively. Prove that BD = CE .

In Delta ABC , AB = AC and the bisectors of angles B and C intersect at point O. Prove that : (i) BO = CO (ii) AO bisects angle BAC.

In a parallelogram ABCD, the bisectors of angleA and angleB intersect each other at point P. Prove that angleAPB=90^(@).

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 .

In the adjoining figure, ABCD is a quadrilateral. Its diagonals AC and BD intersect at point 'O'. Prove that : (a) AB+BC+CD+DA lt 2(AC+BD) (b) AB+BC+CD+DA gt (AC+BD)

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC

In the following figure, ABC is an equilateral triangle and P is any point in AC, prove that : (i) BP gt PA (ii) BP gt PC

In a triangle ABC , AB = AC and angle A = 36^(@) If the internal bisector of angle C meets AB at D . Prove that AD = BC.

NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7b
  1. In DeltaABC, AB = 8 cm, BC=15 cm and AC = 17 cm. find the largest angl...

    Text Solution

    |

  2. In DeltaABC, angleA=50^(@), angleB=60^(@). Find the largest side.

    Text Solution

    |

  3. In the adjoining figure, write the sides of DeltaABC in descending ord...

    Text Solution

    |

  4. In the adjoining figure, explain : (i) which side is the greatest si...

    Text Solution

    |

  5. In the adjoining figure, (i) Which side is smallest ? (ii) In Delt...

    Text Solution

    |

  6. In the adjoining figure, x gt y, Prove that AB gt AC

    Text Solution

    |

  7. In the adjoining figure, AB gt AC and the angle bisectors of angleB an...

    Text Solution

    |

  8. Prove that sum of any two sides of a triangle is greater than twice th...

    Text Solution

    |

  9. In the adjoining figure, PQ=PR. Show that PS gt PQ.

    Text Solution

    |

  10. Prove that the perimeter of a triangle is greater than the sum of i...

    Text Solution

    |

  11. Prove that the sum of the sides of a quadrilateral is greater than twi...

    Text Solution

    |

  12. Prove that in a quadrilateral the sum of all the sides is greater t...

    Text Solution

    |

  13. Prove that the perimeter of a triangle is greater than the sum of it...

    Text Solution

    |

  14. In the adjoining figure, P is an interior point of DeltaABC. Then prov...

    Text Solution

    |

  15. In DeltaABC, if BC gt AC gt AB then : (i) What is the relation angle...

    Text Solution

    |

  16. In the adjoining figure, line segment PA, PB and PC are drawn from poi...

    Text Solution

    |

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

    Text Solution

    |