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In the given figure, squares ABDE and AF...

In the given figure, squares ABDE and AFGC are drawn on the side AB and the hypotenuse AC of the right angle triangle ABC. If BH is perpendicular to FG, Prove that
(i) `Delta EAC ~= Delta BAF`
(ii) area of square ABDE= area of rectangle ARHF.

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

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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 point 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 parallelgorams. If area of triangle EBC = 480 cm^(2)...

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

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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, AP||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 Ddot Pro...

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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 triangle ABC,E and F are the mid-point of sides AB and AC respectiv...

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

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  20. In the given figure, squares ABDE and AFGC are drawn on the side AB an...

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