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Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar(`Delta`AOD) = ar(`Delta`BOC).

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Diagonals AC and BD of a trapezium ABCD with AB| DC intersect each other at O . Prove that ar(AOD)=ar(BOC)

Diagonals AC and BD of a trapezium ABCD with AB|CD intersect each where at O. Prove that ar (o+AOD)=ar(harr BOC)

Diagonals AC and BD of a trapezium ABCD with AB|DC intersect each other at the point O.Using a similarity criterion for two triangles,show that (OA)/(OC)=(OB)/(OD)

Diagonals AC and BD of a trapezium ABCD with ABDC intersect each other at the point O .Using similarity criterion for two triangles, show that (OA)/(OC)=(OB)/(OD)

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar( Delta AOD) = ar( Delta BOC). Prove that ABCD is a trapezium.

ABCD is a trapezium in which AB I I DC. DC is produced to E such tha t CE= AB, prove that ar( Delta ABD) = ar( Delta BCE).

Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

In trapezium AC and BD intersect each other at point P. Then prove that (A(DeltaABP))/(A(DeltaCPD)) = (AB^2)/(CD^2) .

ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersects AB at P and DC at Q. Prove that ar (Delta POA) =" ar "(Delta QOC) .

ABCD is a trapezium with AB||DC. A line parallel to AC intersects AB at X and BC at Y. Prove that ar( Delta ADX) = ar( Delta ACY).

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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