Answers

2014-09-02T21:24:09+05:30
Consider the side of a triangle is a
and the median is AM
we know that AM=   a3/2
4 times altitude =4(a
3/2)whole square
=4(3 asquare/4)
=3 asquare


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2014-09-03T10:43:25+05:30
Let the side of an equilateral triangle = a units

Length of the altitude of the triangle =  \frac{ \sqrt{3}a}{2}

4 times the square of the altitude = 4( \frac{ \sqrt{3} a}{2} )^2
  
                                                    = 4 * \frac{3a^2}{4}
 
                                                   = 3a^2
 
                                                   = 3 times the square of the side.



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