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A golden triangle is an isosceles triangle such that bisecting one of the equal angles produces a new triangle that is similar to the original. It can be shown that the original triangle must be 72-72-36 degrees.

Using trigonometry, or the similarity, it can be shown that the long sides were (1+Φ) times the shorter, where Φ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.

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