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The area of a trapezium is half the prod...

The area of a trapezium is half the product of its height and the sum of parallel sides. GIVEN : A trapezium `A B C D` in which `A B C D ; A B=a ,D C=b` and `A L=C M=h ,` where `A L_|_D C` and `C M_|_A Bdot` TO PROVE : `a r(t r a pdotA B C D)=1/2HX(A+B)` construction : Join `A C`

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Verified by Experts

area of trapezium ABCD=area of `/_ABC`+ area of `/_ACB`
`=1/2*AB*h+1/2*DC*h`
`=1/2*h*(AB+CD)`
`=1/2*h(a+b)`.
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RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. In Figure, A B C D is a parallelogram. Prove that: a r( B C P)=a r( D ...

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  2. 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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  3. The area of a trapezium is half the product of its height and the s...

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  4. Parallelogram A B C D and rectangle A B E F have the same base A B and...

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  5. O is any point on the diagonal B D of the parallelogram A B C Ddot Pro...

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  6. Prove that the area of a rhombus is equal to half the rectangle cont...

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  7. A quadrilateral A B C D is such that diagonal B D divides its area in ...

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  8. Two Trinangle having the same base and equal areas lie between the sam...

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  9. Show that a median of a triangle divides it into two triangles of eq...

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  10. A B C D is a trapezium with A B D Cdot A line parallel to A C interse...

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  11. Diagonals A C and B D of a quadrilateral A B C D intersect at O in suc...

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  12. Let A B C D be a parallelogram of area 124c m^2dot If E and F are the ...

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  13. If A B C D is a parallelogram, the prove that a r( A B D)=a r( B C D)=...

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  14. Triangles on the same base and between the same parallels are equal ...

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  15. Triangles having equal areas and having one side of one of the trian...

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  16. In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also...

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  17. If E ,F ,G and H are respectively the mid-points of the sides of a p...

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  18. In Figure, P is a point in the interior of a parallelogram A B C D . S...

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  19. In Figure, P Q R S and A B R S are parallelograms and X is any point o...

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  20. The diagonals of a parallelogram A B C D intersect at a point Odot Thr...

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