Saturday, April 4, 2009

The Golden Triangle


The Golden Triangle is an isosceles triangle such that the ratio of the hypotenuse a to base b is equal to the golden ratio, a/b=phi. From the above figure, this means that the triangle has vertex angle equal to:

 theta=2sin^(-1)(b/(2a))=2sin^(-1)(1/(2phi))=1/5pi, or 36 degrees.

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