Home
Class 10
MATHS
ABCD is a trapezium in which AB||DC and ...

ABCD is a trapezium in which `AB||DC` and P,Q are points on AD and BC respectively, such that `PQ||DC` if PD=18 cm , BQ= 35 cm and QC= 15 cm, find AD.

Text Solution

Verified by Experts

The correct Answer is:
`= 60 cm`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.3|8 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.4|17 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|22 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

  • MENSURATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , D and E are points on the sides AB and AC respectively such that DE||BC (i) If (AD)/(DB)=(3)/(4) and AC=15 cm find AE. (ii) If AD=8x-7, DB=5x-3, AE= 4x-3 and EC=3x - 1, find the value of x.

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)

In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides AD and BC respectively, such that EF || AB. Show that (AE)/(ED)=(BF)/(FC) .

In Delta ABC , D and E are points on the sides AB and AC respectively. For each of the following cases show that DE||BC (i) AB=12 cm , AD=8 cm, AE=12 cm and AC=18 cm. (ii) AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE=1.8 cm.

In triangle Delta PQR , E and F are points on the sides PQ and PR respectively. State whether EF ||QR or not? (iii) PQ = 1.28 cm PR = 2.56 cm PE = 0.18 cm and PF = 0.36 cm

ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E . If Delta AED ~ Delta BEC . Prove that AD = BC .

PREMIERS PUBLISHERS-GEOMETRY-SOLUTION TO EXERCISE 4.2
  1. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

  2. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

  3. ABCD is a trapezium in which AB||DC and P,Q are points on AD and BC re...

    Text Solution

    |

  4. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

    Text Solution

    |

  5. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

    Text Solution

    |

  6. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

    Text Solution

    |

  7. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

    Text Solution

    |

  8. Rhombus PQRS is inseribed in Delta ABC such that angle B is one of its...

    Text Solution

    |

  9. In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides ...

    Text Solution

    |

  10. In figure DE|| BC and CD||EF. Prove that AD^(2)=AB xx AF.

    Text Solution

    |

  11. In a Delta ABC , AD is the bisector of angle A meeting side BC at D, i...

    Text Solution

    |

  12. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

    Text Solution

    |

  13. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

    Text Solution

    |

  14. In figure angle QPC=90^(@), PS is its bisector. If ST bot PR, prove th...

    Text Solution

    |

  15. ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC an...

    Text Solution

    |

  16. Construct a Delta PQR which the base PQ = 4.5 cm, angle R = 35^(@) and...

    Text Solution

    |

  17. Construct a Delta PQR in which QR= 5 cm, P=40^(@) and the median PG fr...

    Text Solution

    |

  18. Construct a Delta PQR such that QR = 6.5 cm, angle P = 60^(@) and the ...

    Text Solution

    |

  19. Construct a Delta ABC such that AB = 5.5 cm, angle C = 25^(@) and the ...

    Text Solution

    |

  20. Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bise...

    Text Solution

    |