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show that it is not possible to have atriangle with sides a,b and c whose medians have lengths 2/3a , 2/3b and 4/5c
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According to http://en.wikipedia.org/wiki/Median_%28geometry%29#Other_properties any triangle with sides a, b, c and median lengths m_a, m_b, m_c the following is true:
If our medians have lengths (2/3)a, (2/3)b, (4/5)c then
which can only be true if a = b = c = 0.
Wrap it in bacon
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Thanks Dude for answer.
but how can i prove the results
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