Home
Class 9
MATHS
A B C is a triangle in which D is the mi...

`A B C` is a triangle in which `D` is the mid-point of `BC` and `E` is the mid-point of `A D`. Prove that area of ` triangle B E D=1/4area \ of triangle A B C`. GIVEN : A `triangle A B C ,D` is the mid-point of `B C` and `E` is the mid-point of the median `A D`. TO PROVE : `a r( triangle B E D)=1/4a r(triangle A B C)dot`

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 is a triangle in which D is the mid-point of B C and E is the mid-point of A D . Prove that area of B E D = 1/4 area of ABC.

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle R Q C)=3/8\ a r\ (triangle \ A B C) .

D is the mid-point of side B C of triangle A B C and E is the mid-point of B D . If O is the mid-point of A E , prove that a r(triangle B O E)=1/8a r(triangle A B C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In a triangle ABC , E is the mid-point of median AD . Show that a r\ (B E D)=1/4a r\ (A B C)

In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ ( B E D)=1/4a r\ ( A B C)

A B C is a triangle in which D is the mid-point of B C ,\ E\ a n d\ F are mid-points of D C\ a n d\ A E respectively. If area of A B C is 16\ c m^2, find the area of D E F

O is any point on the diagonal B D of the parallelogram A B C D . Prove that a r( triangle O A B)=a r(triangle O B C)

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In Figure, B C || X Y ,\ B X || C A and A B || Y C. Prove that: a r( A...

    Text Solution

    |

  2. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

    Text Solution

    |

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

    Text Solution

    |

  4. A B C D is a parallelogram X and Y are the mid-points of B C and C D r...

    Text Solution

    |

  5. The diagonals of a parallelogram A B C D intersect at a point O. T...

    Text Solution

    |

  6. The medians B E\ a n d\ C F of a triangle A B C intersect at G. ...

    Text Solution

    |

  7. In Figure, compute the area of quadrilateral A B C D.

    Text Solution

    |

  8. In Figure, P Q R S is a square and T\ a n d\ U are, respectively, ...

    Text Solution

    |

  9. Compute the area of trapezium P Q R S in the given figure.

    Text Solution

    |

  10. In Figure, /A O B=90^@,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c m. ...

    Text Solution

    |

  11. In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ...

    Text Solution

    |

  12. In Figure, O C D E is a rectangle inscribed in a quadrant of a circl...

    Text Solution

    |

  13. In figure, A B C D is a trapezium in which A B||C D . Prove that: ...

    Text Solution

    |

  14. In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prov...

    Text Solution

    |

  15. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect eac...

    Text Solution

    |

  16. In Figure, A B C\ a n d\ ABD are two triangles on the base A B. If ...

    Text Solution

    |

  17. If P is any point in the interior of a parallelogram A B C D , then ...

    Text Solution

    |

  18. If A D is a median of a triangle A B C ,\ then prove that triangl...

    Text Solution

    |

  19. A point D is taken on the side B C of a \ A B C such that B D=2D Cd...

    Text Solution

    |

  20. A B C D is a parallelogram whose diagonals intersect at O. If P is a...

    Text Solution

    |