Home
Class 10
MATHS
In a trapezium ABCD, BC AD and AD = 4 cm...

In a trapezium ABCD, BC AD and AD = 4 cm. the two diagonals AC and BD intersect at the point O in such a way that AO/OC = DO/OB = 1/2. Calculate the length of BC.

A

7 cm

B

8 cm

C

9 cm

D

6 cm.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RK MISSION BOYS' HOME HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

  • Simple Interest

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

In trapezium ABCD , BC||AD and AD=4cm . The two diagonals AC and BD intersect at the point O in such a way that (AO)/(OC)=(DO)/(OB)=(1)/(2) . Find the length of BC .

In trapezium ABCD, BC||AD and AD = 4cm. Diagonals AC and BD intersect at O. If (AO)/(OC)= (DO)/(OB)=1/2 then find the length of BC.

In the trapezium ABCD, AB || DC. The diagonals AC and BD of it intersects each other at O. Prove that DeltaAOD=DeltaBOC.

In a rectangle figure ABCD, the two diagonals AC and BD intersect each other at the point O, ifAB = 12 cm,AO = 6.5 cm, then the length of BC is "…..........." cm.

The diagonals of the quadrilateral ABCD intersect each other at O in such a way that (AO)/(BO)=(CO)/(DO) . Prove that ABCD is a trapezium.

In the trapezium ABCD , AB||DC and the two points P and Q are situated on the sides AD and BC in such a way that PQ||DC , if PD=18cm , BQ=35cm , QC=15cm , then the length of AD is.

The circle with centre O is inscribed in the DeltaABC and its radius is 4 cm. The circle intersect the side BC at a point D in such a way that BD=8 cm and DC = 6cm . Determine the lengths of AB and AC.

The diagonals of a quadrilateral ABCD intersect each other at point ‘O’ such that (AO)/(BO) = (CO)/(DO) . Prove that ABCD is a trapezium

In a quadrillateral ABCD, it is given that AB ||CD and the diagonals AC and BD are perpendiclar to each other . Show that AD. BC = AB. CD.

In triangleABC , D and E are the points on AB and AC in such a way that DE||BC and AD:DB = 3:1. If EA = 3.6cm then AC=?

UNITED BOOK HOUSE-Similarity-Exercise
  1. In triangleXYZ and triangleABC. If XY/BC = YZ/AC = XZ/AB, then

    Text Solution

    |

  2. In a △PQR, ∠Q =55° and ∠R = 35°. Find the ratio of angles subtended by...

    Text Solution

    |

  3. If triangleABC and triangleDEF, angleA = angleE and angleF = angleB th...

    Text Solution

    |

  4. In triangleABC, D and E are two points on AB and AC such that DE || BC...

    Text Solution

    |

  5. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Then find...

    Text Solution

    |

  6. In triangleABC and triangleDEF, AB = DE and BC = EF. Then one can inte...

    Text Solution

    |

  7. The perimeters of two similar triangles triangleABC and trianglePQR ar...

    Text Solution

    |

  8. In triangleABC, two points D and E are taken on the lines AB and BC re...

    Text Solution

    |

  9. In a right angled triangleABC, triangleABC = 90^@, BN is perpendicular...

    Text Solution

    |

  10. A vertical stick 20 m long casts a shdow 10 m long on the ground At th...

    Text Solution

    |

  11. Sides of two similar triangles are in the ratio 4 : 9. Areas of these ...

    Text Solution

    |

  12. Two isosceles triangles have equal angles and their areas are in the r...

    Text Solution

    |

  13. The areas of two similar triangles are 9 cm^2 and 16 cm^2 respectively...

    Text Solution

    |

  14. If triangleABC and triangleDEF are two triangles such that AB/DE = BC/...

    Text Solution

    |

  15. In triangleABC, a line XY parallel to BC cuts AB at X and AC at Y. If ...

    Text Solution

    |

  16. If triangleABC and triangleDEF are similar such that angleA = 47^@, an...

    Text Solution

    |

  17. In a trapezium ABCD, BC AD and AD = 4 cm. the two diagonals AC and BD ...

    Text Solution

    |

  18. If triangleABC ~ triangleDEF such that AB = 9.1 cm and DE = 6.5 cm. I...

    Text Solution

    |

  19. Base of a triangle is 9 and height is 5. Base of another triangle is 1...

    Text Solution

    |

  20. In the adjacent fig if angleADE = angleABC, then CE

    Text Solution

    |