The Golden Right Triangle

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The Golden Right Triangle

b = 2a  and  c = Ö a² + b²

j = ( a + c ) / b

 

j = ( a + Ö a² + b² ) / b

j = ( a + Ö a² + (2a)² ) / 2a

j = ( a + Ö a² + 4a² ) / 2a

j = ( a + Ö( 1 + 4 ) a² ) / 2a

j = ( a + Ö 5a² ) / 2a

j = ( a + Ö5 a ) / 2a

j = ( ( 1 + Ö5 ) a ) / 2a

 

j = ( 1 + Ö5 ) / 2

Entry #157

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