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Show that a median of a …

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Show that a median of a triangle divides it into 2 triangles of equal areas

    • Posted by Yash Masram 8 years, 3 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Varun Banda 8 years, 3 months ago

    ABC is the triangle and AD be the median (which means BD =DC).

    Construct AN perpendicular (90 degree) to BC.

    Now ar(ABD) = ½ AN x BD [1]

    ar(ACD) = ½ AN x CD [2]

    We know that BD=CD ( since AD is the median)

    Therefore ,from [1] and [2]

    ar ( ABD) = ar(ACD) => Median of a triangle divides it into two triangles of equal area.

    2Thank You

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