Home
Class 14
MATHS
A circle is inscribed in triangle ABC, t...

A circle is inscribed in `triangle ABC`, touching AB, BC and AC at points P, Q and R respectively. If AB-BC = 4cm, AB-AC = 2cm and the perimeter of `triangle ABC = 32cm`, then PB+AR is equal to :
/ एक वृत्त त्रिभुज ABC के भीतर स्थित है जो AB, BC और AC को क्रमशः बिंदु P, Q और R पर स्पर्श करता है | यदि AB-BC =4 सेमी, AB-AC =2 सेमी और त्रिभुज ABC का परिमाप = 32 सेमी है, तो PB+AR का मान ज्ञात करें

A

12 cm

B

13 cm

C

`33/5 cm`

D

`38/3 cm`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points P, Q and R respectively. If BP = 5.4 cm, CQ = 7.3 cm and AR = 6.1 cm, then the perimeter (in cm) of the triangle ABC is : एक वृत्त किसी त्रिभुज ABC के भीतर स्थित है | यह भुजाओं AB, BC और AC को क्रमशः बिंदु P, Q और R पर स्पर्श करता है | यदि BP = 5.4 सेमी, CQ = 7.3 सेमी और AR =6.1 सेमी है, तो त्रिभुज ABC का परिमाप ( सेमी में) ज्ञात करें |

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points P, Q and R respectively. If BP = 9cm, CQ = 10 cm and AR = 11 cm, then the perimeter (in cm) of the triangle ABC is : एक वृत्त किसी त्रिभुज ABC के भीतर स्थित है | यह भुजाओं AB, BC और AC को क्रमशः P, Q और R पर स्पर्श करता है | यदि BP = 9 सेमी, CQ =10 सेमी और AR =11 सेमी है, तो त्रिभुज ABC का परिमाप ( सेमी में ) ज्ञात करें |

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points P, Q and R respectively. If BP = 5cm, CQ = 7 cm and AR = 6 cm, then the perimeter (in cm) of the is triangle ABC is: एक वृत्त किसी त्रिभुज ABC के भीतर स्थित है | यह भुजाओं AB, BC और AC को क्रमशः P, Q और R पर स्पर्श करता है | यदि BP = 5 सेमी, CQ = 7 सेमी और AR = 6 सेमी है, तो त्रिभुज ABC का परिमाप ( सेमी में ) ज्ञात करें |

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P,Q and R respectively. If BP = 8.5 cm, CQ = 6.5 cm and AR = 4.5 cm, then the perimeter (in cm) of the triangle ABC is: एक वृत्त किसी त्रिभुज ABC के भीतर स्थित है | यह भुजाओं AB, BC और AC को क्रमशः बिंदु P, Q और R पर स्पर्श करता है | यदि BP = 8.5 सेमी, CQ = 6.5 सेमी और AR = 4.5 सेमी है, तो त्रिभुज ABC का परिमाप ज्ञात करें

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P,Q and R respectively. If BP = 6.5 cm, CQ = 4.5 cm and AR = 5.5 cm, then the perimeter (in cm) of the triangle ABC is : एक वृत्त किसी त्रिभुज ABC के भीतर स्थित है | यह भुजाओं AB, BC तथा AC को क्रमशः बिंदु P, Q और R पर स्पर्श करता है | यदि BP = 6.5 सेमी, CQ = 4.5 सेमी और AR = 5.5 सेमी है, तो त्रिभुज ABC का परिमाप ( सेमी में ) क्या होगा ?

A circle is inscribed in a DeltaABC touching AB, BC and AC at P, Q and R respectively. If AB = 10 cm, AR = 7 cm and CR = 5 cm, then find the length of BC.

A circle is inscribed in a triangle ABC. It touches the sides AB, BC and AC at the points R, P and Q respectively. If AQ = 4.5 cm, PC = 5.5 cm and BR = 6 cm, then the perimeter of the triangle ABC is: एक वृत्त किसी त्रिभुज ABC में अन्तर्निहित है | यह भुजाओं AB, BC और AC को क्रमशः बिंदु R, P और Q पर स्पर्श करता है | यदि AQ = 4.5 सेमी, PC = 5.5 सेमी और BR = 6 सेमी है, तो त्रिभुज ABC का परिमाप ज्ञात करें |

A circle is inscribed in a quadrilateral ABCD , touching sides AB , BC , CD and DA at P , Q , R , and S respectively. If AS = 8 cm , BC = 11 cm and CR = 5 cm, then the length AB is equal to : एक वृत्त किसी चतुर्भुज ABCD के भीतर स्थित है जो भुजा AB, BC, CD तथा DA को क्रमशः P, Q, R और S पर स्पर्श करता है | यदि AS = 8 सेमी, BC = 11 सेमी और CR =5 सेमी है, तो AB की लंबाई ज्ञात करें |

A circle is inscribed in a triangle ABC. It touches side AB, BC and AC at points R, P and Q, respectively. If AQ = 2.6cm, PC = 2.7cm and BR = 3cm, then the perimeter (in cm) of the triangle ABC is : एक वृत्त त्रिभुज ABC में अन्तर्निहित है। यह क्रमशः R, P और Q के बिंदु AB, BC और AC को स्पर्श करता है। यदि AQ = 2.6 cm, PC = 2.7 cm और BR = 3 cm है, तो त्रिभुज ABC की परिधि (cm में) है

PINNACLE-GEOMETRY-EXERCISE
  1. Chord AB of a circle is produced to a point P, and C is a point on the...

    Text Solution

    |

  2. In triangle ABC ,angle A=58^@. If I is the incentre of the triangle, ...

    Text Solution

    |

  3. A circle is inscribed in triangle ABC, touching AB, BC and AC at point...

    Text Solution

    |

  4. If each interior angle of a regular polygon is (128 4/7)^@ , then what...

    Text Solution

    |

  5. In quadrilateral ABCD, the bisectors of angle A and angle B meet at O ...

    Text Solution

    |

  6. In triangle ABC , the medians AD, BE and CF meet at O. What is the rat...

    Text Solution

    |

  7. In a circle, AB and DC are two chords. When AB and DC are produced, th...

    Text Solution

    |

  8. The sum of the interior angles of a regular polygon is 1260^@.What is ...

    Text Solution

    |

  9. In a circle with centre O, AC and BD are two chords. AC and BD meet at...

    Text Solution

    |

  10. In triangle ABC , the perpendiculars drawn from A, B and C meet the op...

    Text Solution

    |

  11. The perimeters of two similar triangles ABC and PQR are 78 cm and 46.8...

    Text Solution

    |

  12. In triangle PQR, I is the incentre of the triangle. If angle QIR = 107...

    Text Solution

    |

  13. The sides PQ and PR of triangle PQR are produced to points S and T, re...

    Text Solution

    |

  14. In a quadrilateral ABCD, the bisectors of angle C and angle D meet at ...

    Text Solution

    |

  15. In angle ABC, AB=AC and D is a point on BC. If BD = 5cm, AB =12 cm and...

    Text Solution

    |

  16. The bisector of angle B in triangle ABC meets AC at D. If AB = 10 cm, ...

    Text Solution

    |

  17. A circle is inscribed in a quadrilateral ABCD touching AB,BC, CD and A...

    Text Solution

    |

  18. In triangle ABD, C is the midpoint of BD. If AB = 10 cm, AD = 12 cm an...

    Text Solution

    |

  19. S is the incentre of triangle PQR. If angle PSR = 125^@ , then the mea...

    Text Solution

    |

  20. If in triangle ABC, D and E are the points on AB and BC respectively s...

    Text Solution

    |