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In a quadrilateral ABCD, AM and CN are p...

In a quadrilateral ABCD, AM and CN are perpendiculars from the vertices A and C respectively on diagonal BD. Prove that:
area of `square ABCD = (1)/(2) xx BD xx (AM + CN)`

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NAGEEN PRAKASHAN ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the adjoning figure, D and E are the points on the sides AB and AC ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. O is any point on the diagonal B D of the parallelogram A B C D. Prove...

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  18. D is the mid-point of side AB of the triangle ABC.E is the mid-point o...

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  19. In triangleABC,E and F are mid-points od sides AB and AC respectively....

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  20. ABCD is a parallelogram. P and Q are the mid-points of sides AB and AD...

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