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Prove that the area of a rhombus is equal to half the rectangle contained by its diagonals. Given: A rhombus `A B C D` such that its diagonals `A C\ a n d\ B D` intersect at `Odot` To Prove: `a r\ (r hom b u s\ A B C D)=1/2` (area of the rectangle contained by its diagonals `=1/2(A C\ x\ B D)`

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Prove that the area of a rhombus is equal to half the rectangle contained by its diagonals. Given: A rhombus A B C D such that its diagonals A C\ a n d\ B D intersect at O . To Prove: a r\ (r hom b u s\ A B C D)=1/2 (area of the rectangle contained by its diagonals =1/2(A C\ times\ B D)

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NAGEEN PRAKASHAN ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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  2. The diagonal AC of a quadrilateral ABCD divides it into two triangles ...

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  3. Prove that the area of a rhombus is equal to half the rectangle con...

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  4. Delta ABC and Delta DBC are on same base BC and their vertices A and D...

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  5. O' is an interior point of a parallelogram ABCD. Prove that : area o...

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  6. O' is any point on diagonal AC of a parallelogram ABCD. Prove that : ...

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  7. In the adjoning figure, D and E are the points on the sides AB and AC ...

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  8. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

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  9. In a quadrilateral ABCD, AM and CN are perpendiculars from the vertice...

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  10. In the adjoining figure, ABCD is a quadrilateral in which AD ||BC. AC ...

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  11. Any point D is taken on the side BC of a Delta ABC and AD is produce...

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  12. In the adjoining figure, D is the mid-point of side AB of Delta ABC an...

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  13. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

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  14. In parallelogram ABCD, P is a point on side AB and Q is a ponit on sid...

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  15. In the given figure, M and N are the mid-points of the sides DC and AB...

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  16. ABCD and BCFE are parallelograms. If area of triangle EBC=480cm^(2), A...

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  17. The given figure shows a pentagon ABCDE. EG drawn parallel to DA meets...

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  18. In the given figure, AP is parallel to BC, BP is parallel to CQ. Prove...

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  19. The following figure shows two paralelograms ABCD and ABEF prove that ...

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  20. The side A B of a parallelogram A B C D is produced to any point...

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