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hypotenuse
In geometry, a hypotenuse (alternate spelling: hypothenuse〔Webster's Collegiate Dictionary, but very rarely seen〕) is the longest side of a right-angled triangle, the side opposite of the right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5.
==Etymology==
The word ''hypotenuse'' means essentially "length under", and derives from Latin ''hypotēnūsa'', a transliteration of Ancient Greek (unicode:''hypoteínousa'' (''pleurā́'' or ''grammḗ'')), the feminine present participle of ''hypoteínō'', a combination of ''hypó'' ("under") and ''teínō'' ("I stretch" or "length").〔, , , 〕 The word ὑποτείνουσα was used for the hypotenuse of a triangle by Plato in the Timaeus (dialogue) 54d and by many other ancient authors.
A folk etymology says that ''tenuse'' means "side", so ''hypotenuse'' means a support like a prop or buttress, but this is inaccurate.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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