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Prove that the area of an equilateral tr...

Prove that the area of an equilateral triangle is equal to `(sqrt(3))/4a^2,` where `a` is the side of the triangle.

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RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

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  2. In Figure, A B C D is a trapezium in which A B||D C .\ \ D C is prod...

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

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  4. In Figure, B C || X Y ,\ B X || C A and A B || Y C. Prove that: a r( A...

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  5. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

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  6. A B C is a triangle in which D is the mid-point of BC and E is the mid...

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  7. A B C D is a parallelogram X and Y are the mid-points of B C and C D r...

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  8. The diagonals of a parallelogram A B C D intersect at a point O. T...

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  9. The medians B E\ a n d\ C F of a triangle A B C intersect at G. ...

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  10. In Figure, compute the area of quadrilateral A B C D.

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  11. In Figure, P Q R S is a square and T\ a n d\ U are, respectively, ...

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  12. Compute the area of trapezium P Q R S in the given figure.

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  13. In Figure, /A O B=90^@,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c m. ...

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  14. In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ...

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  15. In Figure, O C D E is a rectangle inscribed in a quadrant of a circl...

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  16. In figure, A B C D is a trapezium in which A B||C D . Prove that: ...

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  17. In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prov...

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  18. Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect eac...

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  19. In Figure, A B C\ a n d\ ABD are two triangles on the base A B. If ...

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  20. If P is any point in the interior of a parallelogram A B C D , then ...

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