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D, E and F are the mid-points of the si...

D, E and F are the mid-points of the sides BC, CA and AB of a triangle ABC. Show that
BDEF is a parallelogram

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D, E and F are respectively the mid-points of the sides BC, CA and AB of aDeltaA B C . Show that (i) BDEF is a parallelogram. (ii) a r" "(D E F)=1/4a r" "(A B C) (iii) a r" "(B D E F)=1/2a r" "(A B C)

D, E, F are the midpoints of the sides BC, CA and AB respectively of triangle ABC. Prove that (i) BDEF is a ||gm, (ii) ar(triangleDEF)=(1)/(4) ar(triangleABC) and (iii) ar("||gm BDEF") = (1)/(2)ar(triangleABC)

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB of the equilateral DeltaABC. Prove that DeltaDEF is also an equilateral triangle.

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(triangleDEF)=1/4ar(triangleABC)

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D, E and F are the mid-points of the sides BC, CA and AB, respectively of and equilateral Delta ABC. Show that Delta DEF is also an equilateral triangle.

If D,E and F are the mid-points of the sides BC, CA and AB respectively of a triangle ABC and lambda is scalar, such that vec(AD) + 2/3vec(BE)+1/3vec(CF)=lambdavec(AC) , then lambda is equal to

MTG IIT JEE FOUNDATION-AREAS OF PARALLELOGRAMS AND TRIANGLES-NCERT SECTION ( EXERCISE 9.3)
  1. In the figure, E is any point on median AD of a triangleABC. Show that...

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  2. In a triangle ABC, E is the mid-point of median AD. Show that ar(trian...

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  3. Show that the diagonals of a parallelogram divide it into four triangl...

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  4. In figure, ABC and ABD are two triangles on the same base AB. If line ...

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  5. D, E and F are the mid-points of the sides BC, CA and AB of a triangl...

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

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

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  8. In the figure, diagonals AC and BD of quadrilateral ABCD intersect at ...

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  9. In the figur e, diagonals AC and BD of quadrilateral A BCD intersect a...

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  10. In the figure, diagonals AC and BD of quadrilateral ABCD intersect at ...

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  11. D and E are points on sides AB and AC respectively of DeltaABC such th...

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  12. XY is a line parallel to side BC of a triangle ABC. If B E\ ||\ A Can...

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  13. The side AB of a parallelogram ABCD is produced to any point P. A lin...

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  14. Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each o...

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  15. In the figure, ABCDE is a pentagon. A line through B parallel to AC me...

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  16. A villager Itwaari has a plot of land of the shape of a quadrilater...

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  17. ABCD is a trapezium with AB||DC. A line parallel to AC intersects AB a...

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  18. In the given figure, AP ||BQ ||CR. Prove that ar(Delta AQC) = ar (Delt...

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  19. Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a w...

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