Home
Class 9
MATHS
D and E are points on sides AB and AC re...

D and E are points on sides AB and AC respectively of a `DeltaABC` such that ar `(DeltaBCE) = ar (DeltaBCD)`. Show that `DE || BC`.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

D and E are points on sides AB and AC respectively of DeltaABC such that ar (DBC) = ar (EBC). Prove that DE II BC .

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD. Show that ar (APB) = ar (BQC).

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(triangleDEF) = 1/4 ar (triangleABC)

D,E and F are mid-points of the sides BC, CA and AB respectively of triangleABC . Prove that ar(||gmBDEF)= 1/2 ar (triangleABC)

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0

D and E are the mid-points of the sides AB and AC respectively of DeltaABC . DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is

P,Q,R and S are the mid-poins of the sides AB,BC,CD and DA respectively of quad. ABCD. Show that PQRS is a parallelogram such that ar(||gmPQRS) = 1/2 ar(quad.ABCD)

In figure. D and E are the mid-points o sides. AB, AC respectively of triangleABC . If ar(triangleABC) = 256 cm^2 , then find ar(triangleBDE)

E is any point on median AD of DeltaABC . If ar (DeltaABE) = 10 cm^2 then ar (DeltaACE) is :

E is any point on median AD of DeltaABC . If ar (DeltaABE) = 10 cm^2 then ar (DeltaACE) is :

MBD-Areas of Parallelograms and Triangles-Exercise
  1. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a w...

    Text Solution

    |

  2. Find x+y+z

    Text Solution

    |

  3. D and E are points on sides AB and AC respectively of a DeltaABC such ...

    Text Solution

    |

  4. Determine a triangle equal in area to a given quadrilateral.

    Text Solution

    |

  5. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  6. Find x+y+z

    Text Solution

    |

  7. Parallelogram ABCD and rectangle ABEF are on the same base AB and have...

    Text Solution

    |

  8. In the above figure both RISK and CLUE are parallelograms. Find the va...

    Text Solution

    |

  9. Find x+y+z

    Text Solution

    |

  10. In fig., find tan P - cot R.

    Text Solution

    |

  11. In Fig. , ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  12. In Fig. , ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  13. In Fig. , ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  14. In Fig. , ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  15. In Fig. , ABC and BDE are two equilateral triangles such that D is th...

    Text Solution

    |

  16. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  17. Diagonals AC and BD of quadrilateral ABCD intersect each other at P. S...

    Text Solution

    |

  18. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  19. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  20. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |