Home
Class 9
MATHS
P is any point on AD, the median of Delt...

P is any point on AD, the median of `DeltaABC`. Prove that `DeltaABP=DeltaACP`.

Promotional Banner

Topper's Solved these Questions

  • THEOREMS ON AREAS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-3|40 Videos

  • SET THEORY

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1|37 Videos

  • THEOREMS ON CONCURRENCE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE Long-answer type questions|17 Videos

Similar Questions

Explore conceptually related problems

P is a point on the median AD of the Delta ABC . Prove that area of Delta APB = area of Delta APC .

E is the mid-point of the medium AD of the DeltaABC . Prove that DeltaBED=1/4DeltaABC .

If E be the mid-point of the median AD of DeltaABC , then prove that DeltaBED=1/4DeltaABC .

P is any point on the diagonal BD of the parallelogram ABCD. Prove that DeltaAPD=DeltaCPD .

AD and BE are the medians of the triangle ABC. Prove that DeltaACD=DeltaBCE .

P is any point in the interior of the parallelogram ABCD. Prove that DeltaAPD+DeltaBPC = 1/2 parallelogram ABCD.

D is any point on the side BC of DeltaABC . P and Q are centroids of DeltaABD and DeltaADC respectively. Prove that PQ||BC .

D, E and F are the mid-points of the sides AB, BC and CA of the DeltaABC . Prove that DeltaDEF=1/4DeltaABC .

AD is a medium of DeltaABC and P is a point on the side AC of DeltaABC such that area of DeltaADP : area of DeltaABD = 2 : 3, Determine the ratio (area of DeltaPDC : area of DeltaABC ).

D, E and F are the mid-points of AB, BC and CA of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

CALCUTTA BOOK HOUSE-THEOREMS ON AREAS-EXERCISE-3
  1. In the isosceles DeltaABC, AB = AC , O is any point on the side BC. OP...

    Text Solution

    |

  2. In the trapezium ABCD, AB || DC. The diagonals AC and BD of it interse...

    Text Solution

    |

  3. Prove that the line segment joining the mid-points of the lateral side...

    Text Solution

    |

  4. Side of a equilateral triangle is 7 ,find its hight.

    Text Solution

    |

  5. If a square and a rhombus lie on the same base, then find logically wh...

    Text Solution

    |

  6. Prove that the area of a rhombus is half the area of the rectangle pro...

    Text Solution

    |

  7. D, E and F are the mid-points of the sides AB, BC and CA of the DeltaA...

    Text Solution

    |

  8. If E be the mid-point of the median AD of DeltaABC, then prove that De...

    Text Solution

    |

  9. Prove that two diagonals of a parallelogram divides it into four trian...

    Text Solution

    |

  10. P is any point on AD, the median of DeltaABC. Prove that DeltaABP=Delt...

    Text Solution

    |

  11. P is any point in the interior of the parallelogram ABCD. Prove that D...

    Text Solution

    |

  12. In the trapezium ABCD, AB || DC and the diagonals AC and BD intersects...

    Text Solution

    |

  13. The diagonals AC and BD of a quadrilateral ABCD intersects each other ...

    Text Solution

    |

  14. D and E lie on the side AB and AC of DeltaABC such that DeltaDBC=Delta...

    Text Solution

    |

  15. Prove that if each diagonal of a quadrilateral bisects it into two tri...

    Text Solution

    |

  16. Find the co ordinate on the X axis cut by the straight line 2x+3y=12

    Text Solution

    |

  17. On the outside of the equilateral triangle ABC and in the angular regi...

    Text Solution

    |

  18. D is the mid-point of the side BC of the DeltaABC and P is any point o...

    Text Solution

    |

  19. Prove that the sum of the perpendiculars drawn from any interior point...

    Text Solution

    |

  20. B is a vertex of the isosceles triangle ABC. D and E are the mid-point...

    Text Solution

    |