Right triangle whose angles are in a geometric progression

There is also a unique right triangle whose angles are in a geometric progression. The three angles are π/(2φ2), π/(2φ), π/2 where the common ratio is φ, the golden ratio. Consequently the angles are in the ratio  1:\varphi:\varphi^2.\,

 

Phi( φ) is calculated as a/b where  a and b are the non hypotenuse sides of the triangle

φ = a+b/a = a/b



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