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The median of a triangle divides it into...

The median of a triangle divides it into two

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Show that a median of a triangle 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 Delta ABC whose vertices are A(4,-6), B(3,-2) and C(5, 2).

The besector of an angle divides it into two

Show that the sum of three vectors determined by the medians of a triangle directed from the vertics is zero.

Fill in the Blanks: A diagonal of || gm divides it into two triangles of ________ area.

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SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -OBJECTIVE TYPE QUESTIONS
  1. State whether the following statements are true (T) or false (F)...

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  2. Two figures are said to be on the same base and between the sa...

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  3. Parallelogram on equal bases and between the same parallels are equal ...

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  4. If a triangle and a parallelogram are on the same base and betw...

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  5. Two triangles on the same base and between the same parallel ...

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  6. The median of a triangle divides it into two

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  7. In the given figure ABCD is a parallelogram and BD is its diag...

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  8. A diagonal of parallelogram divides it into four triangles of equal ar...

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  9. The medians of a triangle ABC intersect each other at G then ...

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  10. The perimeter of a trapezium is equal to the product of its hei...

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  11. Fill in the Blanks : Area of || gm = Base xx …………..

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  12. Area of triangle =(1)/(2)xx…………..xx Altitude.

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  13. Area of rhombus =(1)/(2)xx ………… .

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  14. Area of trapezium =(1)/(2)xx"Height"xx(……………)

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  15. Area of a || gm whose base is 4 cm and the height is 5 cm will ...

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  16. What will be the height of a triangle whose base is 4 cm and ...

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  17. ABC is a triangle in which AB=AC=10cm and angleA=90^(@) .What wil...

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  18. PQRS is a rhombus .If PQ= 3cm , what will be the perimeter of ...

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  19. What will be the height of a || gm whose area is 20cm^(2) and t...

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  20. If the diagonals of a rhombus are 6 cm and 8 cm then what wi...

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