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A villager Itwari has a plot of land of ...

A villager Itwari has a plot of land of the shape of a quadrilateral. The Gram Panchayat of the village decided to take over some portion of plot from one of the corners to construct a health centre. Itwari agrees to the above proposal with the condition that he should be given equal amount of land in lieu of his land adjoining his plot so as to form a triangular plot. Explain how his proposal will be implemented.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. D is the mid-point of side B C of triangle A B C and E is the mid-poi...

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  2. In Fig. 9.30, D and E are two points on BC such that B D=D E=E C . S...

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  3. A villager Itwari has a plot of land of the shape of a quadrilateral...

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  4. In parallelogram A B C D ,A B=10c m. The altitudes corresponding to th...

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  5. D, E, F are the mid points of side AB, BC, AC prove that BDEF is a pa...

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  6. If the medians of a triangle A B C intersect at G , show that a r( tr...

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  7. Prove that the area of an equilateral triangle is equal to (sqrt(3))...

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  8. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

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  9. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

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  10. Show that the segment joining the mid-points of a pair of opposite s...

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  11. Diagonals A C and B D of a trapezium A B C D with A B || C D intersect...

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  12. In Figure, A B C D is a quadrilateral and B E || A C and also B E meet...

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  13. If a triangle and a parallelogram are on the same base and between the...

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  14. In Figure, A B C D E is a pentagon. A line through B parallel to A C m...

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  15. Prove that The area of a parallelogram is the product of its base and...

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  16. Prove that Parallelograms on the same base and between the same para...

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  17. Prove that A diagonal of a parallelogram divides it into two triangl...

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  18. If each diagonal of a quadrilateral separates it into two triangles...

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  19. The area of a triangle is half the product of any of its sides and t...

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  20. Triangles A B C and DBC are on the same base B C with A, D on opposite...

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