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X Y isa line parallel to side B C of A ...

`X Y` isa line parallel to side `B C` of ` A B CdotB E A` and `C F A B` meet `X Y` in `E` and `F` respectively.Show that `a r( A B E)=a r( A C F)dot`

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`XY" is parallel to BC and BE is parallel to CY"`
`-.BCYE " is a parallelogram"`
`ar(/_\ABF)=1/2 ar "(parallelogram BCYE)"->"eq(1)"`
`"In Quadrilateral BXFC`
`"CE is parallel to AB and XF is parallel to BC "`
`->BXFC" is a parallelogram "`
`ar(/_\ACF)=1/2ar("parallelogram"BXFC)->"eq(2)"`
`"parallelogram BXFC and parallelogram BCYF")`
...
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. 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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  2. E , F , G , H are respectively, the mid-points of the sides A B ,B C ...

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  3. 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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  4. E , F , G , H are respectively, the mid-points of the sides A B ,B C ,...

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  5. The side A B of a parallelogram A B C D is produced to any point Pdot ...

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  6. Any point D is taken in the base B C of a triangle A B C\ a n d\...

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  7. In A B C ,D is the mid-point of A B ,P is any point of B CdotC Q P D...

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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. In Figure, A B C D is a trapezium in which A B||D C ,\ \ D C is prod...

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

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  11. A B C D is a trapezium with A B D Cdot A line parallel to A C interse...

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

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  13. 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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  14. A B C D is a parallelogram X and Y are the mid-points of B C and C D r...

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  15. The diagonals of a parallelogram A B C D intersect at a point Od...

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  16. The medians B E\ a n d\ C F of a triangle A B C intersect at ...

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  17. In the given figure, compute the area of quadilateral

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  18. In Figure, P Q R S is a square and T\ a n d\ U are, respectively, ...

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  19. Compute the area of trapezium P Q R S in Figure

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  20. In Figure, /A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdo...

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