Home
Class 10
MATHS
The given diagram shows two isosceles tr...

The given diagram shows two isosceles triangles which are similar. In the given diagram, PQ and BC are not parallel, PC = 4, AQ = 3, QB = 12, BC = 15 and AP = PQ. Calculate :

the length of AP.

Text Solution

Verified by Experts

The correct Answer is:
`5 cm`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 Videos

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(E)|61 Videos

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(B)|17 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

The given diagram shows two isosceles triangles which are similar. In the given diagram, PQ and BC are not parallel, PC = 4, AQ = 3, QB = 12, BC = 15 and AP = PQ. Calculate : the ratio of the areas of triangle APQ and triangle ABC.

In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC

The given figure shows a quadrilateral ABCD in which AD =13 cm, DC= 12 cm, BC=3 cm and /_ABC= /_BCD=90^(@) . Calculate the length of AB.

AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) is

AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) is

In a triangle ABC , AP is perpendicular to BC . If BC = 112 cm , cot B =4/3 and cot C =12/5 , calculate the length of AP

In given figure, if angleA=angleC , AB= 6 cm, BP = 15 cm, AP = 12 cm and CP= 4 cm, then find the lengths of PD and CD.

In Triangle ABC, AD is perpendicular to BC, tan B "" = (3)/(4) tan C = "" ( 5)/(12) and BC = 56 cm . Calculate the lengths of AD.

In the given figure, AP = 8 cm, BP = 22 cm, AQ = 12 cm and QC = 8 cm If PQ = 14 cm, find BC.

In the figure, given below, PQR is a right angled triangle right angled at Q. XY is parallel to QR, PQ = 6 cm, PY = 4 cm and PX : XQ = 1:2. Calculate the lengths of PR and QR.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(C)
  1. The perimeters of two similar triangles are 30 cm and 24 cm. If one si...

    Text Solution

    |

  2. In the given figure, AX : XB = 3:5 Find : the length of BC, if ...

    Text Solution

    |

  3. In the given figure, AX : XB = 3:5 Find : the ratio between the...

    Text Solution

    |

  4. ABC is a triangle. PQ is a line segment intersecting AB in P and AC in...

    Text Solution

    |

  5. In the given triangle PQR, LM is parallel to QR and PM : MR = 3: 4. ...

    Text Solution

    |

  6. In the given triangle PQR, LM is parallel to QR and PM : MR = 3: 4. ...

    Text Solution

    |

  7. In the given triangle PQR, LM is parallel to QR and PM : MR = 3: 4. ...

    Text Solution

    |

  8. The given diagram shows two isosceles triangles which are similar. In ...

    Text Solution

    |

  9. The given diagram shows two isosceles triangles which are similar. In ...

    Text Solution

    |

  10. In the figure, given below, ABCD is a parallelogram. P is a point on B...

    Text Solution

    |

  11. In the figure, given below, ABCD is a parallelogram. P is a point on B...

    Text Solution

    |

  12. In the given figure, BC is parallel to DE. Area of triangle ABC = 25 c...

    Text Solution

    |

  13. The given figure shows a trapezium in which AB is parallel to DC and d...

    Text Solution

    |

  14. The given figure shows a trapezium in which AB is parallel to DC and d...

    Text Solution

    |

  15. The given figure shows a trapezium in which AB is parallel to DC and d...

    Text Solution

    |

  16. The given figure shows a trapezium in which AB is parallel to DC and d...

    Text Solution

    |

  17. In the given figure, ABC is a triangle. DE is parallel to BC and (AD)/...

    Text Solution

    |

  18. In the given figure, ABC is a triangle. DE is parallel to BC and (AD)/...

    Text Solution

    |

  19. In the given figure, ABC is a triangle. DE is parallel to BC and (AD)/...

    Text Solution

    |

  20. In the given figure, /B = /E, /ACD = /BCE, AB = 10.4 cm and DE = 7.8 c...

    Text Solution

    |