Golden triangle (mathematics)

Golden triangle (mathematics)

A golden triangle is an isosceles triangle in which the two longer sides have equal lengths and in which the ratio of this length to that of the third, smaller side is the golden ratio

:varphi = {1 + sqrt{5} over 2}.

This is the shape of the triangles found in the points of pentagrams.

The vertex angle is equal to

: heta = cos^{-1}left( {varphi over 2} ight) = {pi over 5} = 36^circ.

The golden triangle is also uniquely identified as the only triangle to have its three angles in 2:2:1 proportion.

ee also

* Kepler triangle

External links

* [http://mathworld.wolfram.com/GoldenTriangle.html Golden triangle article] at Wolfram MathWorld


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