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If the medians of a triangle A B C inte...

If the medians of a `triangle A B C` intersect at `G ,` show that `a r( triangle A G B)=a r(triangle A G C)=a r(triangle B G C)=1/3a r( triangle A B C)`. GIVEN : ` triangle A B C` such that its medians `A D ,B E` and `C F` intersect at `G` TO PROVE : `a r(triangle A G B)=a r(triangle B G C)=a r(triangle C G A)=1/3 ar (triangle A B C)`.

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If the medians of a triangle A B C intersect at G , show that a r( triangle A G B)=a r( triangle A G C)=a r( triangle B G C)=1/3a r( triangle A B C) . GIVEN : triangle A B C such that its medians A D ,B E and C F intersect at G . TO PROVE : a r(triangle A G B)=a r( triangle B G C)=a r(triangle A G C)=1/3a r(triangle A B C)

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Triangles A B C and DBC are on the same base B C with A, D on opposite...

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  2. D and E are points on sides AB and AC respectively of DeltaA B Csuch...

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

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  4. D, E and F are respectively the mid-points of the sides BC, CA and AB...

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  5. B D is one of the diagonals of a quadrilateral A B C D. A M and C N ...

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  6. A B C D is a quadrilateral. A line through D , parallel to A C , mee...

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

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

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

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

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

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

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

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

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

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

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

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