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Show that a median of a triangle divides...

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

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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 Delta ABC whose vertices are A(4,-6), B(3,-2) and C(5, 2).

The median of a triangle divides it into two

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How many medians can a triangle have?

If each diagonal of a quadrilateral separated it into two triangles of equal area, then show that quadrilateral is a parallelogram.

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