Home
Class 9
MATHS
A B C D is a parallelogram, G is the ...

`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 C`. Prove that: `a r\ (triangle \ E F C)=1/2\ a r\ (triangle \ E B F)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

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 on B C such that B F=2F C . Prove that: a r(\ triangle \ E G B)=1/6a r\ (A B C D)

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)

A B C is a triangle. D is a point on A B such that AD=1/4A B\ a n d\ E is a point on A C such that A E=1/4A C . Prove that D E=1/4B C

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F C . Prove that A E C F is a parallelogram whose area is one third of the area of parallelogram A B C D .

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at F . Then A F=

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.

A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that A B C is an equilateral triangle.

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 a parallelogram A B C D ,E ,F are any two points on the sides A B and B C respectively. Show that a r(triangle A D F)=a r( triangle D C E) .

In Figure, A B_|_B C ,F G_|_B C and D E_|_AC.Prove that triangle A D E~G C F

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. A B C D is a parallelogram, G is the point on A B such that A G=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In figure, ABCD is a parallelogram, AE perpendicular to DC and CF perp...

    Text Solution

    |

  5. In Figure, C D\ || A E\ a n d\ C Y || B A. (i) Name a triangle equa...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. In Figure, A B C D is a trapezium in which A B || D C a n d DC=40cm ...

    Text Solution

    |

  10. In Figure, A B C\ a n d\ B D E are two equilateral triangls such tha...

    Text Solution

    |

  11. In Figure, A B C\ a n d\ B D E are two equilateral triangls such th...

    Text Solution

    |

  12. In Figure, A B C\ a n d\ B D E are two equilateral triangls such th...

    Text Solution

    |

  13. A B C is a triangle in which D is the mid-point of B C and E is the mi...

    Text Solution

    |

  14. In figure, A B C\ a n d\ B D E are two equilateral triangles such th...

    Text Solution

    |

  15. D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-p...

    Text Solution

    |

  16. In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respect...

    Text Solution

    |

  17. In Figure A B C D\ a n d\ A E F D are two parallelograms. Prove that: ...

    Text Solution

    |

  18. In Figure, A B C D\ a n d\ A E F D are two parallelograms? Prove that:...

    Text Solution

    |

  19. In Figure, A B C D is a parallelogram. O is any point on A C.P Q\ ||...

    Text Solution

    |

  20. In a \ /\A B C , If L\ a n d\ M are points on A B\ a n d\ A C respec...

    Text Solution

    |