Home
Class 9
MATHS
In a parallelogram ABCD, AB = 10 cm and ...

In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of `angleA` meets DC in E. AE and BC produced meet at F. Find the length of CF.

Text Solution

AI Generated Solution

To find the length of CF in the given parallelogram ABCD, we can follow these steps: ### Step 1: Understand the properties of the parallelogram In parallelogram ABCD, we know that opposite sides are equal. Therefore, AB = CD and AD = BC. Given that AB = 10 cm and AD = 6 cm, we have: - CD = 10 cm - BC = 6 cm **Hint:** Remember that in a parallelogram, opposite sides are always equal. ...
Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWER TYPE QUESTIONS|10 Videos
  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 2.4 Long Answer type Questions|9 Videos
  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

In a parallelogram ABCD, AB= 20 cm and AD= 12cm. The bisector of angle A meets DC at E and BC produced at F. Find the length of CF.

In a parallelogram A B C D ,\ A B=10 c m ,\ A D=6c mdot The bisector of /_A meets D C in E ,\ A E\ a n d\ B C produced meet at Fdot Find the length C Fdot

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: Angle APB= 90^(@)

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: BP bisects angle B

In a parallelogram ABCD, the bisector of angleA bisects the line B at point X. Prove that AD = 2AB.

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.

In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2AD. Prove that : (i) BP bisects angle B. (ii) Angle APB = 90^(@)

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that : BP=2AD

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: PB=2AD

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: O is mid-point of AP.

NCERT EXEMPLAR ENGLISH-QUADRILATERALS -LONG ANSWER TYPE QUESTIONS
  1. A square is incribed in an isoceles right triangle, so that the square...

    Text Solution

    |

  2. In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ang...

    Text Solution

    |

  3. P, Q , R and S are respectively the mid-points of the sides AB, BC, C...

    Text Solution

    |

  4. ABCD is a rhombus and P, Q, R and S are wthe mid-points of the side...

    Text Solution

    |

  5. P, Q, R and S are respectively the mid-points of sides AB, BC, CD and ...

    Text Solution

    |

  6. If diagonal of a parallelogram bisects one of the angles of the para...

    Text Solution

    |

  7. ABCD is a parallelogram in which P and Q are mid-points of opposite ...

    Text Solution

    |

  8. ABCD is a quadrilateral in which AB||DC and AD = BC. Prove that angleA...

    Text Solution

    |

  9. In figure, AB||DE, AB=DE, AC||DF and AC=DF. Prove that BC||EF and BC=E...

    Text Solution

    |

  10. In A B C ,A D is the median through A and E is the mid-point of A D ....

    Text Solution

    |

  11. Show that the quadrilateral, formed by joining the mid-points of the ...

    Text Solution

    |

  12. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

    Text Solution

    |

  13. Prove that the quadrilateral formed by the bisectors of the angles of ...

    Text Solution

    |

  14. P and Q are points on opposite sides AD and BC of a parallelogram ABCD...

    Text Solution

    |

  15. ABCD is a rectangle in which diagonal BD bisects angle B. Show that AB...

    Text Solution

    |

  16. In DeltaA B C, D, E and F are respectively the mid-points of sides AB...

    Text Solution

    |

  17. Prove that the line segment joining the mid-points of the diagonals of...

    Text Solution

    |

  18. P is the mid-point of the side CD of a parallelogram ABCD. A line thro...

    Text Solution

    |