Home
Class 9
MATHS
In Figure, A B C D is a trapezium in whi...

In Figure, `A B C D` is a trapezium in which `A B D C` and `D C=40c m` and `A B=60c mdot` If `X` and `Y` are, respectively, the mid-points of `A D` and `B C` , prove that : `X Y=50c m` `D C Y X` is a trapezium `a r(t r a pdotD C Y X)=9/(11)a r(t r a pdotX Y B A)`

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

In Figure, A B C D is a trapezium in which A B\ D C\ a n d\ D C=40\ c m\ a n d\ A B=60\ c mdot If X\ a n d\ Y are, respectively, the mid-points of A D\ a n d\ B C , prove that: a r\ (t r a pdotD C Y X)=9/(11)\ a r\ (t r a pdot(X Y B A)

In Figure, A B C D is a trapezium. Find the value of x\ a n d\ y

In Figure, A B C D is a trapezium in which A B||C D . Prove that: a r( A O D)=a r( B O C)dot

In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=x\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of x and area of trapezium A B C D

In A 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 Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

A B C D is a trapezium in which A B D Cdot If a r( A B D)=24\ c m^2a n d\ A B=8\ c m , then height of A B C is 3 cm (b) 4 cm (c) 6 cm (d) 8 cm

In A 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 Pdot Prove that: a r\ ( R Q C)=3/8\ a r\ (\ A B C)

In A 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 Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R 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

In Figure, A B C D is a parallelogram in which P is the mid-point of D C\ a n d\ Q is a point on A C such that C Q=1/4A Cdot If P Q produced meets B C\ a t\ R , prove that R is a mid-point of B C

RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Prove that the diagonals of quadrilateral A B C D ,A C and B D interse...

    Text Solution

    |

  2. X Y isa line parallel to side B C of A B CdotB E A and C F A B meet...

    Text Solution

    |

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

    Text Solution

    |

  4. Show that the diagonals of a parallelogram divide it into four trian...

    Text Solution

    |

  5. Show that the area of a rhombus is half the product of the lengths o...

    Text Solution

    |

  6. A B C D is a parallelogram whose diagonals A C and B D intersect at Od...

    Text Solution

    |

  7. A point D is taken on the side B C of a A B C such that B D=2d Cdot P...

    Text Solution

    |

  8. In Figure, D , E are points on sides A B and A C respectively of A B ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. The area of a trapezium is half the product of its height and the s...

    Text Solution

    |

  13. Parallelogram A B C D and rectangle A B E F have the same base A B and...

    Text Solution

    |

  14. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

    Text Solution

    |

  15. Prove that the area of a rhombus is equal to half the rectangle cont...

    Text Solution

    |

  16. A quadrilateral A B C D is such that diagonal B D divides its area in ...

    Text Solution

    |

  17. Two Trinangle having the same base and equal areas lie between the sam...

    Text Solution

    |

  18. Show that a median of a triangle divides it into two triangles of eq...

    Text Solution

    |

  19. A B C D is a trapezium with A B D Cdot A line parallel to A C interse...

    Text Solution

    |

  20. Diagonals A C and B D of a quadrilateral A B C D intersect at O in suc...

    Text Solution

    |