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Show that a median of a triangle divi...

Show that a median of a triangle divides it into two triangles of equal area.

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The median of a triangle divides it into two

If A(4,-6),B(3,-2) a n d C(5,2) are the vertices of A B C, and AD is median then verify the fact that a median of a triangle ABC divides it into two triangles of equal areas.

You have studied in Class IX, (Chapter 9. Example 3), that a median of a triangle divides it into two triangles of equal areas. Verify this result for ∆ ABC whose vertices A(4, – 6), B(3, –2) and C(5, 2).

Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

Prove that a median divides a triangle into two triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

If A (1,2) , B(-2, 3) and C(-3,-4) be the vertices of DeltaABC . Verify that median BE divides it into two triangles of equal areas.

If A(4,-6),B(3,-2)and C(5,2) are the vertices of a DeltaABC and AD is its median, prove that the median AD divides DeltaABC into two triangles of equal areas.

Show that the line joining the centroid of a triangle to its vertices divide it into three triangles of equal area.

RD SHARMA ENGLISH-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. Let A B C D be a parallelogram of area 124\ c m^2. If E\ a n d\ F ar...

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  2. If A B C D is a parallelogram, then prove that a r\ (/\\ A B D)=\ a ...

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  3. Show that a median of a triangle divides it into two triangles of e...

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  4. A D is one of the medians of a A B Cdot\ \ X is any point on A ...

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  5. In a A B C ,\ E is the mid-point of median A Ddot Show that a r\ (...

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

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  7. Diagonals A C\ a n d\ B D of a trapezium A B C D with A B||D C inte...

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

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  9. Show that the diagonals of a parallelogram divide it into four tria...

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  10. The diagonals of quadrilateral A B C D ,\ A C\ a n d\ B D intersect ...

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  11. If the diagonals A C ,\ B D of a quadrilateral A B C D , interse...

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  12. If each diagonals of a quadrilateral separates it into two triangle...

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  13. Show that the area of a rhombus is half the product of the lengths o...

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

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  15. A villager Itwari has a plot of land of the shape of a quadrilatera...

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  16. A B C D is a trapezium with A B||D C . A line parallel to A C in...

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

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  18. In Figure, A P || B Q\ || C R. Prove that a r\ ( A Q C)=\ a r\ (P B R)

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  19. In Fig.9.29, a r\ (B D P)\ =\ a r\ (A R C)and a r\ (B D P)\ =\ a r\ (A...

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

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