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X Y is a line parallel to side B C of tr...

`X Y` is a line parallel to side `B C` of triangle` A B C . If B E II A`C and `C F II A B` meet `X Y` at `E` and `F` respectively.Show that `a r( A B E)=a r( A C F)dot`

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. A B C D is a quadrilateral. A line through D , parallel to A C , mee...

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  2. If the median of a △ABC intersect at G. show that ar (△AGC) = ar (△AGB...

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  3. X Y is a line parallel to side B C of triangle A B C . If B E II AC a...

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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. X Y is a line parallel to side B C of /\ A B C. B E || AC and C F || A...

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

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

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

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

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

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

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  13. In Figure, B C || X Y ,\ B X || C A and A B || Y C. Prove that: a r( A...

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  14. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

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

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  16. 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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  17. The diagonals of a parallelogram A B C D intersect at a point O. T...

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

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  19. In Figure, compute the area of quadrilateral A B C D.

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

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