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Prove that of all parallelograms of w...

Prove that of all parallelograms of which the sides are given, the parallelogram which is rectangle has the greatest area.

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NAGEEN PRAKASHAN-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the figure, find the length of RN.

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  2. Show that the segment joining the mid-points of a pair of opposite ...

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  3. Prove that of all parallelograms of which the sides are given, the ...

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  4. Show that the diagonals of a parallelogram divide it into four tria...

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  5. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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

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  7. Show that the area of a rhombus is half the product of the lengths ...

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

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

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

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

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

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

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

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  15. D is a point on the base BC of Delta ABC.AD is produced upto E such th...

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

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

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

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

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  20. ABCD and BCFE are parallelgorams. If area of triangle EBC = 480 cm^(2)...

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