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In the figure given alongside, squares A...

In the figure given alongside, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right triangle ABC.
If BH perpendicular to FG, prove that :
(i) `DeltaEAC~=DeltaBAF`.
(ii) Area of the square ABDE
= Area of the rectangle ARHF.

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NAGEEN PRAKASHAN ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-Exercise
  1. In the adjoning figure, ABCD is a parallelogram. Prove that : area of ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. In the figure given alongside, squares ABDE and AFGC are drawn on the ...

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