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A B C D is a parallelogram, G is the ...

`A B C D` is a parallelogram, `G` is the point on `A B` such that `A G=2 G B , E ` is a point of `D C` such that `C E=2DE` and `F` is the point of `B C` such that `B F=2F Cdot` Prove that: `a r ( E F C)=1/2 a r ( E B F)`

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Let the distance between EH and CB = x
ar of (`triangleEBF`)=`1/2xxBFxxX`
`1/2xx2/3BCxxX`
`1/3xxBCxxX`
ar(`triangleEFC`)=`1/2xxCFxxX`
`1/2xxar(`triangleEBF`)
ar(`triangleEFC`)=`1/2` ar(`triangleEBF`)
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

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  2. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

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  3. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

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  4. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

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  5. A B C D is a parallelogram, G is the point on A B such that A G=2 ...

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  6. If Figure, C D\ A E\ a n d\ C Y B A Name a triangle equal in area...

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  7. In Figure, P S D A is a parallelogram in which P Q=Q R=R S\ a n d\ A...

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  8. 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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  9. 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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  10. In Figure, ABCD is a trapezium in which AB, DC and DC=40 cm and AB=60 ...

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  11. In Figure, ABC and BDE are two equilateral triangles such that D is th...

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  12. In Figure, ABC and BDE are two equilateral triangles such that D is th...

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  13. In Figure, ABC and BDE are two equilateral triangles such that D is th...

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  14. A B C is a triangle in which D is the mid-point of B C and E is the mi...

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  15. In Figure, ABC and BDE are two equilateral triangles such that D is th...

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  16. In Figure, A B C\ a n d\ B D E are two equilateral triangls such tha...

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  17. D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-p...

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  18. In Figure, X and Y are the mid-points of AC and A B respectively, QP...

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  19. In Figure ABCD and AEFD are two parallelograms. Prove that: PE=FQ

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  20. In Figure, ABCD and AEFD are two parallelograms? Prove that: ar (APE):...

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