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In Fig ., ABCDE is a pentagon . A li...

In Fig ., ABCDE is a pentagon . A line through B parallel to AC meets DC produced at F . Show that

ar (ACB)=ar (ACF)

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In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that:- (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)

ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that: ar(AEDF) = ar(ABCDE)

The sides AB of parallelogram ABCD produced to any point P. A line through A and parallel to CP meets CB produced at Q and the parallelogram PBQR is completed Show that ar(ABCD) = ar(PBQR)

P is the mid point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. prove that AR=2BC.

A point is taken on the side BC of a parallelogram ABCD. AE and DC are produced to meet at F. Prove that : ar(ADF) = ar(ABFC)

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that AF=2DC

P is the mid point of side AB of a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. prove that BR=2BQ.

In the figure ABCDE is any pentagon. BP drawn parallel to AC meets DC produced at P and EQ drawn parallel to AD meets CD produced at Q. Prove that : ar(ABCDE) = ar(APQ)

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that DF=2DL.

ABCD is a parallelogram and a line through A meets DC at P and BC (produced) at Q. Prove that ar(triangleBPC) = ar(triangleDPQ)

SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.3
  1. E is any point on median AD of a triangle ABC . Show that ar (ABE) = a...

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

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  3. In Fig ., ABC and ABD are two triangles on the same base AB ....

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

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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. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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  8. In Fig ., diagonals AC and BD of quadrilateral aBCD intrsect at...

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  9. In Fig ., diagonals AC and BD of quadrilateral ABCD intrsect at...

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

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  11. XY is a line parallel to side BC of triangle ABC. If BE II AC and CF I...

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  12. The side AB of a parallelogram ABCD is produced to any point P. A line...

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  13. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

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  14. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  15. In Fig ., ABCDE is a pentagon . A line through B parallel to ...

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  16. Find the area of a square plot of side 8m.

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

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  18. In Fig ., AP||BQ ||CR . Prove that ar (DeltaPBR) = ar (DeltaAQC)

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

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  20. ar(DRC) = ar(DPC) and ar(BDP) = ar(ARC). Show that both the quadrilate...

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