Home
Class 10
MATHS
Angle BAC of triangle ABC is obtuse and ...

Angle BAC of triangle ABC is obtuse and AB = AC. P is a point in BC such that PC = 12 cm. PQ and PR are perpendiculars to sides AB and AC respectively. If PQ = 15 cm and PR = 9 cm, find the length of PB. 

Text Solution

Verified by Experts

The correct Answer is:
`20 cm`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(B)|17 Videos

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(C)|24 Videos

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(E)|61 Videos

  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos

  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

Delta ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

If ∆ABC ~ ∆PQR, perimeter of ∆ABC = 32 cm, perimeter of ∆PQR = 48 cm and PR = 6 cm, then find the length of AC.

If P and Q are points on the sides AB and AC respeactively of triangleABC , if PQ||BC,l AP= 2 cm , AB = 6 cm and AC= 9 cm find AQ.

In Delta ABC, AB =AC and D is a piont in side BC such that AD bisect angle BAC. Show that AD is perpendicular bisector of side BC.

Triangle ABC is isosceles with AB=AC and BC=65cm. P is a point on BC such that the perpendiculardistances from P to AB and AC are 24cm and 36cm, respectively. The area of triangle ABC (in sq cm is)

PQR is a triangle right angled at P. If PQ=10cm and PR=24cm, find QR

In a triangle ABC, right-angled at B, side BC = 20 cm and angle A= 30°. Find the length of AB.

P and Q are points on the sides AB and AC respectively of a triangleABC . If AP= 2cm, PB = 4cm AQ= 3cm and QC= 6cm. Show that BC= 3PQ.

A line PQ is drawn parallel to the side BC of Delta ABC which cuts side AB at P and side AC at Q. If AB = 90 cm, CA = 60 cm and AQ = 4.2 cm, find the length of AP.

In the given figure, a circle inscribed in a triangle ABC, touches the sides AB, BC and AC at points D, E and F respectively. If AB= 12 cm, BC= 8 cm and AC = 10 cm, find the lengths of AD, BE and CF.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. In the given figure, AD = AE and AD^2 = BD xx EC. Prove that : trian...

    Text Solution

    |

  2. In the given figure, AB////DC, BO = 6 cm and DQ = 8 cm, find: BP xx D...

    Text Solution

    |

  3. Angle BAC of triangle ABC is obtuse and AB = AC. P is a point in BC su...

    Text Solution

    |

  4. State, true or false : Two similar polygons are necessarily congruen...

    Text Solution

    |

  5. State, true or false : Two congruent polygons are necessarily simila...

    Text Solution

    |

  6. State, true or false : All equiangular triangles are similar.

    Text Solution

    |

  7. State, true or false : All isosceles triangles are similar.

    Text Solution

    |

  8. State, true or false : Two isosceles-right triangles are similar.

    Text Solution

    |

  9. State, true or false : Two isosceles triangles are similar, if an an...

    Text Solution

    |

  10. State, true or false : The diagonals of a trapezium divide each othe...

    Text Solution

    |

  11. Given : /GHE = /DFE = 90^@, DH = 8, DF = 12, DG = 3x - 1 and DE = ...

    Text Solution

    |

  12. D is a point on the side BC of a triangle ABC such that /A D C=/B A C....

    Text Solution

    |

  13. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

    Text Solution

    |

  14. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

    Text Solution

    |

  15. Given : RS and PT are altitudes of DeltaPQR. Prove that: Delta PQT ~...

    Text Solution

    |

  16. Given : RS and PT are altitudes of DeltaPQR. Prove that: PQ xx QS = ...

    Text Solution

    |

  17. Given : ABCD is a rhombus, DPR and CBR are straight lines. Pro...

    Text Solution

    |

  18. Given : FB = FD, AE | FD and FC | AD.   Prove that: : (FB)/(AD) = (BC...

    Text Solution

    |

  19. In DeltaPQR, /Q = 90^@ and QM is perpendicular to PR. Prove that : P...

    Text Solution

    |

  20. In DeltaPQR, /Q = 90^@ and QM is perpendicular to PR. Prove that : Q...

    Text Solution

    |