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In Fig. 9.30, D and E are two points o...

In Fig. 9.30, D and E are two points on BC such that `B D=D E=E C . Show that `a r(A B D)=a r(A D E)=a r(A E C)` . Can you now answer the question that you have left in the Introduction of this chapter, whether the field of Budha has been actually divided into three parts of equal area ?

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In a triangle \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C...

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  2. D is the mid-point of side B C of triangle A B C and E is the mid-poi...

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  3. In Fig. 9.30, D and E are two points on BC such that B D=D E=E C . S...

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  4. A villager Itwari has a plot of land of the shape of a quadrilateral...

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  5. In parallelogram A B C D ,A B=10c m. The altitudes corresponding to th...

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  6. D, E, F are the mid points of side AB, BC, AC prove that BDEF is a pa...

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

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

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

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  10. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

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  11. Show that the segment joining the mid-points of a pair of opposite s...

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  12. Diagonals A C and B D of a trapezium A B C D with A B || C D intersect...

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  13. In Figure, A B C D is a quadrilateral and B E || A C and also B E meet...

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  14. If a triangle and a parallelogram are on the same base and between the...

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  15. In Figure, A B C D E is a pentagon. A line through B parallel to A C m...

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  16. Prove that The area of a parallelogram is the product of its base and...

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  17. Prove that Parallelograms on the same base and between the same para...

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  18. Prove that A diagonal of a parallelogram divides it into two triangl...

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  19. If each diagonal of a quadrilateral separates it into two triangles...

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  20. The area of a triangle is half the product of any of its sides and t...

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