Home
Class 9
MATHS
In a parallelogram A B C D diagonals A C...

In a parallelogram `A B C D` diagonals `A C\ a n d\ B D` intersect at `O\ a n d\ A C=6. 8\ c m\ a n d\ B D=5. 6 c m` . Find the measures of `O C\ a n d\ O D`

Text Solution

Verified by Experts

"In a parallelogram `ABCD` diagonals `AC and B D` intersect at `O and AC=6. 8 cm and BD=5. 6 c m`
in a parallelogram diagonal bisect each other
so `OC=1/2(AC)`
`=1/2(6.8)`
`=3.4cm`
so `OD=1/2(5.6)`
`=2.8cm`"
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|67 Videos

  • RATIONALISATION

    RD SHARMA|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

In a parallelogram A B C D , write the sum of angle A\ a n d\ B

In Figure, /_A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdot Find the area of A O Bdot

A B C D is a parallelogram whose A C\ a n d\ B D intersect at Odot A line through O intersects A B\ a t\ P\ a n d\ D C\ at Qdot Prove that a r\ (\ P O A)=\ a r\ (\ Q O C)dot

Show that the diagonals of a parallelogram divide it into four triangles of equal area. GIVEN : A parallelogram A B C D . The diagonals A C and B D intersect at Odot TO PROVE : a r( O A B)=a r( O B C)=a r( O C D)=a r( A O D)

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

A B C D is a parallelogram. P is the mid-point of A BdotB D\ a n d\ C P intersect at Q such that C Q : Q P=3: 1. If a r\ ( P B Q)=10\ c m^2, find the area of parallelogram A B C D

A B C D is a trapezium in which A B C D . The diagonals A C and B D intersect at O . Prove that (i) A O B C O D (ii) If O A=6c m , O C=8c m , Find: (A r e a ( A O B))/(A r e a ( C O D)) (b) (A r e a ( A O D))/(A r e a ( C O D))

A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C respectively and A L=C M . Prove that L M\ a n d\ B D bisect each other.

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In Figure, 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

RD SHARMA-QUADRILATERALS-All Questions
  1. In Figure, A B C D is a parallelogram. Compute the values of x\ a n ...

    Text Solution

    |

  2. In Figure, find the four angles A ,\ B ,\ C\ a n d\ D in the paralle...

    Text Solution

    |

  3. In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a...

    Text Solution

    |

  4. ABCD is a parallelogram and line segments AX ,CY bisect the angles A a...

    Text Solution

    |

  5. Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel res...

    Text Solution

    |

  6. In Figure, AN and CP are perpendicular to the diagonal BD of a paralle...

    Text Solution

    |

  7. In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respective...

    Text Solution

    |

  8. The diagonals of a parallelogram ABCD intersect at OA line through O i...

    Text Solution

    |

  9. In Figure, A B C D is a parallelogram and /D A B=60^0dot If the bisect...

    Text Solution

    |

  10. In a parallelogram ABCD , the bisector of /A also bisects BC at X Prov...

    Text Solution

    |

  11. A B C D is a parallelogram. L\ a n d\ M are points on A B\ a n d\ D C ...

    Text Solution

    |

  12. PQRS is a parallelogram. PX and QY are respectively, the perpendicular...

    Text Solution

    |

  13. ABCD is a parallelogram. AB is produced to E so that B E=A B. Prove th...

    Text Solution

    |

  14. If A B C D is a quadrilateral in which A B C D and A D=B C , prove th...

    Text Solution

    |

  15. Two opposite angles of a parallelogram are (3x-2)^@ and (50-x)^@ Find...

    Text Solution

    |

  16. If an angle of a parallelogram is two-third of its adjacent angle, fin...

    Text Solution

    |

  17. Find the measure of all the angles of a parallelogram, if one angle is...

    Text Solution

    |

  18. The perimeter of a parallelogram is 22 cm If the longer side measures ...

    Text Solution

    |

  19. In a parallelogram ABCD , /D=135^@, determine the measures of /A and...

    Text Solution

    |

  20. A B C D is a parallelogram in which /A=70^@ Compute /B ,\ /C\ a n d\...

    Text Solution

    |