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Crossed ladders problem : ウィキペディア英語版 | Crossed ladders problem The crossed ladders problem is a puzzle of unknown origin that has appeared in various publications and regularly reappears in Web pages and Usenet discussions. ==The problem==
Two ladders of lengths ''a'' and ''b'' lie oppositely across an alley, as shown in the figure. The ladders cross at a height of ''h'' above the alley floor. What is the width of the alley? Martin Gardner presents and discusses the problem in his book of mathematical puzzles published in 1979 and cites references to it as early as 1895. The Crossed Ladders Problem may appear in various forms, with variations in name, using various lengths and heights, or requesting unusual solutions such as cases where all values are integers. Its charm has been attributed to a seeming simplicity which can quickly devolve into an "algebraic mess" (attributed by Gardner to D. F. Church ).
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