Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 n. The side of a right triangle opposite the right angle.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The side of a right triangle opposite the right angle.
from the GNU version of the Collaborative International Dictionary of English
 n. The side of a rightangled triangle that is opposite to the right angle.
from The Century Dictionary and Cyclopedia
 n. In geometry, the side of a rightangled triangle opposite the right angle.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 n. the side of a right triangle opposite the right angle
Etymologies
Examples

The word hypotenuse in Greek originally meant “stretched against”.

This is called a hypotenuse, which we learned yesterday in math.

The hypotenuse already has a name, albeit a lengthy one, so we’ll keep that, except we will capitalize it to distinguish the name of our particular line, Hypotenuse, from the term the hypotenuse.

The hypotenuse is the side opposite the right angle, and a right angle is a quarter turn.

The hypotenuse is the side of a right triangle that is opposite the right angle.
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Whenever we have one side (a) of a rightangled triangle, and know the difference between the second side and the hypotenuse (which difference we will call b), then the length of the hypotenuse will be a² b

I ask, trying to remember the high school math I would use to determine the mosquito's hypotenuse using a left shoulder, an elbow on the bar, and her hand on her knee as points A, B, C.

This last, the hypotenuse, might be a diagonal brace nailed to a door, a siege ladder tipped against a fortification or a wooden beam propping up a wall.

The result: The total count of tiles within the squares bordering the triangle's two shorter sides matched that within the square bordering the hypotenuse.

Assuming you accept for a right triangle that the sum of the squares of the two sides equals the square of the hypotenuse …
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