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How I can proof that a median divides a triangle in two equal half

How I can proof that a median divides a triangle in two equal half

Grade:9

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
Let A,B,C be a triangle and median from A is drawn on BC at point D. BD = CD and median AD is common to both the triangle. Now Using sin formula of area of triangle,
Area = (1/.2)AD*BD sin(<ADB) = (1/2)AD*DC*Sin(<pi – <ADB) and these will be equal.

Thanks.

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