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In this video I go over a sequence which involves rotating triangles around a point and determining the limit of the inner angle of the triangles. To solve this I first use the Pythagorean Theorem to determine the square of the distance of one of the sides of the triangles, and then simplify it by noting it includes a geometric sum. Given that the other triangle side keeps doubling, we can thus determine a formula of the inner angle. Using exact trigonometric ratios, we can determine that the limit of the angle approaches 60 degrees.
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