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O' is any point on diagonal AC of a para...

O' is any point on diagonal AC of a parallelogram ABCD. Prove that :
area of `Delta AOD = " area of " Delta AOB`

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O' is an interior point of a parallelogram ABCD. Prove that : area of Delta AOB + " area of " Delta COD = " area of " Delta AOD + " area of " Delta BOC

In the adjoning figure, ABCD is a parallelogram. Prove that : area of Delta BPC = " area of " Delta DPQ

In the adjoining figure, BD = DC and AE = ED. Prove that area of Delta ACE = (1)/(4) " area of " Delta ABC

If P is any point in the interior of a parallelogram ABCD, then prove that area of the triangle APB is less than half the are of parallelogram.

If P is any point in the interior of a parallelogram A B C D , then prove that area of the triangle A P B is less than half the area of parallelogram.

In the adjoining figure, ABCD is a quadrilateral in which AD ||BC . AC and BD intersect each other at point 'O'. Prove that: area of Delta COD = " area of " Delta ABO

In the figure, ABCD is a quadrilateral. A line DP drawn parallel to diagonal AC from point D, meet BC produced at P. Prove that: are of Delta ABP = " area of " square ABCD

The medians of Delta ABC intersect at point G. Prove that: area of Delta AGB = (1)/(3) xx " area of " Delta ABC

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NAGEEN PRAKASHAN-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. Delta ABC and Delta DBC are on same base BC and their vertices A and D...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The side AB of a parallelogram ABCD is produced to any point E. A line...

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  18. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  19. In the following figure, AP||PS||QR and PQ||DB||SR, prove that area of...

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  20. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

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