Home
Class 10
MATHS
In the trapezium ABCD,AC and BD intersec...

In the trapezium ABCD,AC and BD intersect at O and also AB=2CD If the area of ` A O B=84 c m^2,` find the area of ` C O Ddot`

Text Solution

Verified by Experts

It is given that ABCD is a trapezium and` AB∣∣DC. `
In `△AOB and △COD`
`∠ABO=∠CDO` (Alternate angles)
`∠BAO=∠DCO` (Alternate angles) ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In trapezium ABCD, AB || CD and AB = 2 CD. Its diagonals intersect at O. If the area of Delta AOB = 84 cm^(2) , then the area of Delta COD is equal to

ABCD is a square.AC and BD intersect at O .State the measure of /_AOB

ABCD is an isoceles trapezium . AB||CD AD=BC diagonal intersect at O, area of ABO = 84 cm^(2) find area of Delta COD

In a trapezium ABCD, O is the point of intesection of AC and BD, AB||CD and AB = 2xx CD . If the area of triangleAOB= 84cm^(2) . Find the area of triangleCOD .

In a parallelogram ABCD diagonals AC and BD intersect at O and AC =12.6 cm and BD = 9.4 cm. Find the measures of OC and OD.

In a trapezium ABCD, AB||DC and its digonals intersects at point O. AB = 6 cm, DC = 3 cm then find the ratio of area DeltaAOB and DeltaCOD .

In a parallelogram ABCD diagonals AC and BD intersect at O and AC = 7.4 cm and BD = 6.2 cm. Find the length of AO and BO.

In a parallelogram ABCD diagonals AC and BD intersect at O and AC=6.8cm and BD=13.6cm. Find the measures of OC and OD.

The sides AD, BC of a trapezium. ABCD are parallel and the diagonals AC and BD meet at O. If the area of triangle AOB is 3 cm and the area of triangle BDC is 8 cm2, then what is the area of triangle AOD?

RD SHARMA-TRIANGLES-All Questions
  1. Prove that three times the sum of the squares of the sides of a tri...

    Text Solution

    |

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

    Text Solution

    |

  3. In the trapezium ABCD,AC and BD intersect at O and also AB=2CD If the ...

    Text Solution

    |

  4. ABC is an isosceles triangle right-angled at B. Similar triangles ...

    Text Solution

    |

  5. ABC is a right triangle right-angled at B. Let D and E be any points o...

    Text Solution

    |

  6. A girl of height 90 cm is walking away from the base of a lamp-post...

    Text Solution

    |

  7. If A B C is a right triangle right-angled at Ba n dM ,N are the mid-...

    Text Solution

    |

  8. Determine whether the triangle having sides (a-1)c m ,2sqrt(a)c m and ...

    Text Solution

    |

  9. If triangle A B C is similar to triangle D E F such that B C=3C M ...

    Text Solution

    |

  10. The perimeters of two similar triangles are 30cm and 20cm respectively...

    Text Solution

    |

  11. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

    Text Solution

    |

  12. ABC is a right angle triangle right angled at A. A circle is inscribed...

    Text Solution

    |

  13. In Figure, /B A C=90^0,A D is its bisector. If D E|A c , prove that D...

    Text Solution

    |

  14. Prove that the line segments joints joining the mid-points of the a...

    Text Solution

    |

  15. In figure, P is the mid-point of B C , ,Q is the mid-point of A P ,...

    Text Solution

    |

  16. A vertical stick 12m long casts a shadow 8m long on the ground. At the...

    Text Solution

    |

  17. In a quadrilateral A B C D , if bisectors of the /A B Ca n d/A D C mee...

    Text Solution

    |

  18. In A B C , the bisector of /B meets A C at Ddot A line P Q A C meets...

    Text Solution

    |

  19. The bisectors of the angles B and C of a triangle A B C , meet the o...

    Text Solution

    |

  20. In A B C ,/B=2/C and the bisector of /B intersects A C at Ddot Prove ...

    Text Solution

    |