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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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ICSE-AREA THEOREMS-Exercies 16(A)
  1. In the given figure, ABCD is a parallelogram BC is produced to point X...

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  2. The given figure shows parallelograms ABCD and APQR. Show that these p...

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  3. In the given figure, if area of triangle ADE is 60cm^(@), giving reaso...

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  4. The given figure shows a rectangle ABDC and a parallelogram ABEF, draw...

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  5. In the given figure, diagonals PR and QS of thr parallelogram PQRS int...

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

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

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  8. In the following figure, CE is drawn parallel to diagonal DB of the qu...

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  9. ABCD is a parallelogram, a line through A cuts DC at point P and BC pr...

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

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  13. In the following figure, DE is parallel to BC. Show that : (i) "Are...

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

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  15. In the given figure, D is mid-point of side AB of triangleABC and BDEC...

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  16. In the following figure, AC////PS////QR "and" PQ////DB////SR. Prove ...

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  17. ABCD is a trapezium with AB////DC. A line parallel to AC intersects A...

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  18. In the given figure, AD////BE////CF. prove that : area (DeltaAEC) ...

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  19. In the given figure, ABCD is a parallelogram BC is produced to point X...

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  20. The given figure shows parallelograms ABCD and APQR. Show that these p...

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