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hypotenuse
(redirected from hypotenuses)

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hypotenuse

Longest side of a right-angled triangle, opposite the right angle. It is of particular application in Pythagoras' theorem (the square of the hypotenuse equals the sum of the squares of the other two sides), and in trigonometry where the ratios sine and cosine are defined as the ratios opposite/hypotenuse and adjacent/hypotenuse respectively.



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If we draw out from the center of the circle to the base of this triangle a vertical line, then the two angles formed on both sides of this vertical line will be right-angled, and the [original] triangle, due to this drawn out vertical line, will be halved into two right-angled triangles, and the two lines falling on the two extremities [of the locus of contact] will become hypotenuses of these two right-angled triangles, and the vertical line becomes a hypotenuse of [i.
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That is, the sum of the two hypotenuses represented the length of the cable.
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