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AM is a median of a …

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AM is a median of a triangle ABC is AB+BC>2AM?

    • Posted by Saurabh Bisht 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    In {tex}\triangle{/tex}ABM
    AB + BM > AM....[Sum of the lengths of any two sides of a triangle is greater than the length of the third side].....(1)
    In {tex}\triangle{/tex}ACM
    CA + CM > AM....[Sum of the lenghts of any two sides of a triangle is greater than the length of the third side].....(2)
    Sum (1) and (2)
    (AB + BM) + (CA + CM) > AM + AM
    {tex}\therefore{/tex} AB + (BM + CM) + CA > 2AM
    {tex}\therefore{/tex} AB + BC + CA > 2AM

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