Home
Class 9
MATHS
A B C D is a parallelogram in which B...

`A B C D` is a parallelogram in which `B C` is produced to `E` such that `C E=B CdotA E` intersects `C D\ ` at `Fdot` Prove that `a r\ (\ A D F)=\ a r\ (\ E C F)` If the area of `\ D F B=3\ c m^2,` find the area of `^(gm)` ABCD

Text Solution

Verified by Experts

In `△ADF` and `△ECF` , we have
`∠ADF = ∠ECF` [alt.int.∠s]
`AD = EC` [∵ `AD = BC and BC = EC`]
`∠DFA = ∠CFE` [vert. opp. ∠s]
...
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ B F E)=\ a r\ (\ A F D)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ B F E)=\ 2\ a r\ (E F D)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ (\ F E D)=1/8a r\ (\ A F C)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r\ ( B D E)=1/2a r\ ( B A E)

In Figure, A B C\ a n d\ B D E are two equilateral triangls such that D is the mid-point of B CdotA E intersects B C in Fdot Prove that: a r( B D E)=1/4a r\ (\ A B C)

In Figure, A B C D is a trapezium in which A B||D C ,\ \ D C is produced to E such that C E=A B , prove that a r( A B D)=a r\ ( B C E)dot Construction: Draw D M\ on B A produced and B N_|_D C

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (\ E B G)=a r\ (\ E F C)

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (\ E F C)=1/2\ a r\ (\ E B F)

A B C D is a parallelogram, G is the point on A B such that A G=2\ G B ,\ E\ is a point of D C such that C E=2D E\ a n d\ F is the point of B C such that B F=2F Cdot Prove that: a r\ (A D E G)=\ a r\ (G B C E)

RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. A point D is taken on the side B C of a \ A B C such that B D=2D Cd...

    Text Solution

    |

  2. A B C D is a parallelogram whose diagonals intersect at Odot If P i...

    Text Solution

    |

  3. A B C D is a parallelogram in which B C is produced to E such th...

    Text Solution

    |

  4. A B C D is a parallelogram whose A C\ a n d\ B D intersect at Od...

    Text Solution

    |

  5. A B C D is a parallelogram. E is a point on B A such that B E=2\ E ...

    Text Solution

    |

  6. P and Q are respectively the mid-points of sides AB and BC of a trian...

    Text Solution

    |

  7. In A ABC , P and Q are respectively the mid-points of AB and BC and...

    Text Solution

    |

  8. In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ ...

    Text Solution

    |

  9. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

    Text Solution

    |

  10. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

    Text Solution

    |

  11. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

    Text Solution

    |

  12. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

    Text Solution

    |

  13. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

    Text Solution

    |

  14. If Figure, C D\ A E\ a n d\ C Y B A Name a triangle equal in area...

    Text Solution

    |

  15. In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A...

    Text Solution

    |

  16. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

    Text Solution

    |

  17. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

    Text Solution

    |

  18. In Figure, ABCD is a trapezium in which AB, DC and DC=40 cm and AB=60 ...

    Text Solution

    |

  19. In Figure, ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  20. In Figure, ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |