Home
Class 10
MATHS
Diagonlas AC and BD of a trapezium ABCD ...

Diagonlas AC and BD of a trapezium ABCD with AB ||DC intersect each other at the point O. using a similarity criterion for two triangles, show that `(OA)/(OC) = (OB)/(OD)`.

Text Solution

Verified by Experts

The correct Answer is:
`(OA)/(OC) = (OB)/(OD)` .
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.4|9 Videos
  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.5|17 Videos
  • TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise Exercise 2.2|10 Videos
  • SURFACE AREAS AND VOLUMES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 15.4|5 Videos

Similar Questions

Explore conceptually related problems

Diagonals AC and BD of a trapezium ABCD with AB|| DC intersect each other at the point O. Using a similarity criterion for two triangles , show ,that (OA)/(OC)=(OB)/(OD)

Diagonals AC and BD of a trapezium ABCD with AB || DC interseet each other ar at O. Prove that ar (AOD) = BOC.

Diagonals AC and BD of a trapezium ABCD with AB |\| DC intersect each other at O. Prove that ar (AOD) = ar (BOC).

Diagonals of a trapezium ABCd with AB||DC intersect each other at the point O. If AB = 2 CD , find the ratio of the areas of triangles AOB and COD.

Diagonals of trapezium PQRS intersect each other at the point O, PQ||RS, and PQ = 3RS. Find the ratio of the areas of triangles POQ and ROS.

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaPDC ~DeltaBEC

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : triangleAEP ~triangleCDP

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaABD ~DeltaCBE

In Fig , altitudes AD and CE of triangle ABC intersect each other at the point P. show that : DeltaAEP ~DeltaADB