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Mathematics-Online problems:

Interactive Problem 58: Length of an Infinite Polygon in a Right Triangle

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Let a right triangle $ P_0P_1P$ have side lengths of 3, 4, and 5, with $ \overline{P_0P_1}$ being the shortest side of the triangle.
\includegraphics{A347_bild}

Determine the length $ l$ of the infinite polygon connecting the points $ P_0, P_1, P_2, P_3, \cdots$.


Answer:

$ l$ =


   

(From: Day of Mathematics 1994)
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  automatically generated: 2/ 6/2018