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Prove that If a triangle and a parallelo...

Prove that If a triangle and a parallelogram are on the same base and between the same parallels, the area of the triangle is equal to half of the parallelogram.

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`ar(/_ABC)=1/2*BC*AC`
`=1/2*BC*DM`
`ar(/_ABC)=1/2ar (BCDE)`.
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
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  2. In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D...

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  3. Prove that If a triangle and a parallelogram are on the same base and ...

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  5. The area of a parallelogram is the product of its base and the corre...

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  6. Prove that Parallelograms on the same base and between the same parall...

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  7. A diagonal of a parallelogram divides it into two triangles of equal...

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  8. Prove that If each diagonal of a quadrilateral separates it into two...

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

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  10. Triangles A B C and +DBC are on the same base B C with A, D on opposit...

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  11. If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O ...

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  12. If P is any point in the interior of a parallelogram A B C D , then pr...

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  13. Prove that the diagonals of quadrilateral A B C D ,A C and B D interse...

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  14. X Y isa line parallel to side B C of A B CdotB E A and C F A B meet...

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  15. In Figure, A B C D is a trapezium in which A B D C and D C=40c m and ...

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  16. Show that the diagonals of a parallelogram divide it into four trian...

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  17. Show that the area of a rhombus is half the product of the lengths o...

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  18. A B C D is a parallelogram whose diagonals A C and B D intersect at Od...

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  19. A point D is taken on the side B C of a A B C such that B D=2d Cdot P...

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  20. In Figure, D , E are points on sides A B and A C respectively of A B ...

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