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In Fig. 9.24, ABC and ABD are two trian...

In Fig. 9.24, ABC and ABD are two triangles on the same base AB. If line- segment CD is bisected by AB at O, show that `ar(triangleABC)=ar(triangleABD)`

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AO is the median of `triangleCAD rArr ar(triangleCOA)=ar(triangleDOA)`.
BO is the median of `triangleCBD rArr ar(triangleCOB)=ar(triangleDOB)`.
`therefore ar(triangleCOA)+ar(triangleCOB)=ar(triangleDOA)+ar(triangleDOB)rArr ar(triangleABC)=ar(triangleABD)`.
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RS AGGARWAL-AREAS OF PARALLELOGRAMS AND TRIANGLES -Exercise 11
  1. Show that a median of a triangle divides it into two triangles of e...

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  2. A diagonal of a parallelogram divides it into two triangles of equal a...

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  3. In Fig. 9.24, ABC and ABD are two triangles on the same base AB. If l...

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  4. The points D and E are respectively located on AB and AC on the sides ...

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  5. O is the any point on diagonal PR of parallelogram PQRS. Prove that Ar...

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  6. In the adjoining figure, the diagonals AC and BD of a quadrilateral AB...

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  7. The vertex A of triangle ABC is joined to a point D on the side BC. Th...

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  8. D is the midpoint of side BC of triangleABC and E is the midpoint of ...

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  9. In trapezium ABCD, AB || DC and L is the mid-point of BC. Through L, a...

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  10. In the adjoining figure, ABCD is a quadrilateral. A line through D, p...

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  11. In the adjoining figure, triangle ABC and triangleDBC are on the same ...

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  12. ABCD is a parallelogram in which BC is produced to E such that CE = BC...

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  13. A point E is taken on the side BC of a parallelogram ABCD. AE and DC a...

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  14. P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and ...

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  15. किसी त्रिभुज ABC की मधिकाएँ CD और BE एक दूसरे को O पर कटती है , तो अन...

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  16. The base BC of Delta ABC is divided at D, so that BD=1/2DC. Prove that...

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  17. In the adjoining figure, BD||CA, E is the midpoint of CA and BD =(1)/(...

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  18. The given figure shows a pentagon ABCDE.EG drawn parallel to DA meets ...

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  19. In figure, CD || AE and CY || BA. Prove that ar (DeltaCBX) = ar (Delta...

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  20. In the adjoining figure, the point D divides the sides of triangleABC ...

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