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The median of a triangle divides it into...

The median of a triangle divides it into two

A

triangles of equal area

B

congruent triangles

C

isosceles triangles

D

right triangles

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The correct Answer is:
A
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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 AABC whose vertices are A(4,-6),B(3,-2) and C(5,2)

Assertion (A) : If ABCD is a rhombus whose one angle is 60^(@) then the ratio of the lengths of its diagonals is sqrt3 : 1 Reason (R ) : Median of a triangle divides it into two triangle of equal area.

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

As we know studied that a median of a triangle divides it into triangles of equal areas. Verify this result for Delta ABC whose vertices are A (4,-6), B(3,-2) and C (5,2).

Consider the following statements in respect of any triangle I. The three medians of a triangle divide it into six triangles of equal area. II. The perimeter of a triangle is greater than the sum of the lengths of its three medians. Which of the statements given above is/are correct ?

A point taken on each median of a triangle divides the median in the ratio 1:3 reckoning from the vertex.Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is:

A point taken on each median of a triangle divides the median in the ratio 1 : 3, reckoning from the vertex. Then the ratio of the area of the triangle with vertices at these points to that of the original triangle is

RS AGGARWAL-AREAS OF PARALLELOGRAMS AND TRIANGLES -MULTIPLE-CHOICE QUESTIONS (MCQ)
  1. Out of the following given figures, which are on the same base but not...

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  2. In which of the following figures, you find two polygons on the same b...

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  3. The median of a triangle divides it into two

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  4. The area of quadrilateral ABCD in the given figure is

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  5. The area of trapezium ABCD in the given figure is

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  6. In the given figure, ABCD is a ||gm in which AB = CD = 5 cm and BD bot...

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  7. In the given figure, ABCD is a ||gm in which diagonals AC and BD inter...

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  8. In the given figure, ABCD is a ||gm in which DL bot AB. IF AB = 10 cm ...

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  9. The area of ||gm ABCD is

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  10. Two parallelograms are on equal bases and between the same parallels. ...

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  11. In the figure, ABCD and EFGD are two parallelograms and G is the mid-p...

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  12. The midpoints of the sides of a triangle along with any of the vertice...

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  13. The lengths of the diagonals of a rhombus are 12 cm and 16 cm. Find th...

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  14. Two parallelogram sides of a trapezium are 12 cm and 8 cm long and the...

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  15. In the given figure, ABCD is a trapezium such that AL bot DC and BM bo...

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  16. In a quadrilateral ABCD, it is given that BD = 16 cm. If AL bot BD and...

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  17. ABCD is a rhombus in which angleC= 60^(@)then AC:BD=.

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  18. In the given figure, ABCD and ABEF are parallelograms such that ar(qua...

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  19. triangleABC and triangleBDE are two equilateral triangles such that D ...

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  20. In a ||^(gm) ABCD, if P and Q are midpoints of AB and CD respectively ...

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