Home
Class 9
MATHS
A B C D is a trapezium with parallel ...

`A B C D` is a trapezium with parallel sides `A B=a\ a n d\ D C=bdot` If `E\ a n d\ F` are mid-points of non-parallel sides `A D\ a n d\ B C` respectively, then the ratio of areas of quadrilaterals `A B F E\ a n d\ E F C D` is: `a : b` (b) `(a+3b):(3a+b)` `(3a+b):(a+3b)` (d) `(3a+b):(3a+b)`

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

Let A B C D be a parallelogram of area 124\ c m^2 . If E\ a n d\ F are the mid-points of sides A B\ a n d\ C D respectively, then find the area of parallelogram A E F D

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

In A B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

If D ,\ E and F are the mid-points of the sides of a /_\A B C , the ratio of the areas of the triangles D E F and ABC is .......

A B C is an isosceles triangle in which A B=A C . If D\ a n d\ E are the mid-points of A B\ a n d\ A C respectively, Prove that the points B ,\ C ,\ D\ a n d\ E are concyclic.

In a A B C ,\ E\ a n d\ F are the mid-points of A C\ a n d\ A B respectively. The altitude A P to B C intersects F E\ at Q . Prove that A Q=Q P .

M ,\ N\ a n d\ P are the mid-points of A B ,\ A C\ a n d\ B C respectively. If M N=3c m ,\ N P=3. 5 c m\ a n d\ M P=2. 5 c m , calculate B C ,\ A B\ a n d\ A C

A B C D is a parallelogram and E\ a n d\ F are the centroids of triangles A B D\ a n d\ B C D respectively, then E F= (a) A E (b) B E (c) C E (d) D E

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

In Figure, A B C D is a parallelogram. E\ a n d\ F are the mid-points of the sides A B\ a n d\ C D respectively. Prove that the line segments A F\ a n d\ C E trisect (divide into three equal parts) the diagonal B D .

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Two parallelograms are on equal bases and between the same parallels. ...

    Text Solution

    |

  2. A triangle and a parallelogram are on the same base and between the ...

    Text Solution

    |

  3. Let A B C be a triangle of area 24sq. units and P Q R be the tri...

    Text Solution

    |

  4. The median of a triangle divides it into two (a)congruent triangle...

    Text Solution

    |

  5. In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a...

    Text Solution

    |

  6. A B C D is a parallelogram. P is any point on C Ddot If a r\ ( D...

    Text Solution

    |

  7. The area of the figure formed by joining the mid-points of the adja...

    Text Solution

    |

  8. A ,\ B ,\ C ,\ D are mid-points of sides of a parallelogram P Q R S...

    Text Solution

    |

  9. The figure obtained by joining the mid-points of the adjacent sides ...

    Text Solution

    |

  10. The mid points of the sides of a triangle A B C along with any o...

    Text Solution

    |

  11. If A D is median of A B C and P is a point on A C such that a r...

    Text Solution

    |

  12. Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then ...

    Text Solution

    |

  13. In a A B C if D\ a n d\ E are mid-points of B C\ a n d\ A D respect...

    Text Solution

    |

  14. In Figure, A B C D is a parallelogram. If A B=12\ c m ,\ \ A E=7. 5\ c...

    Text Solution

    |

  15. In Figure, P Q R S is a parallelogram. If X\ a n d\ Y are mid-points...

    Text Solution

    |

  16. In Figure, A B C D\ a n d\ F E C G are parallelograms equal in area. I...

    Text Solution

    |

  17. Diagonal A C\ a n d\ B D of trapezium A B C D , in which A B || D C ...

    Text Solution

    |

  18. A B C D is a trapezium in which AB\||\D Cdot If a r( A B D)=24\ c m...

    Text Solution

    |

  19. A B C D is a trapezium with parallel sides A B=a\ a n d\ D C=bdot I...

    Text Solution

    |

  20. A B C D is a rectangle with O as any point in its interior. If a r\...

    Text Solution

    |