Talk:Hypotenuse

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Article creation

I created this article for clarity. Previously it was redirecting to the triangle article, which resulted in having to search again for the word 'hypotenuse'. I also created an illustration and released it public domain.
BlackWolf 15:54, 13 November 2006 (UTC)[reply]

Another Way to Find the Length of the Hypotenuse

Let's say you had a right triangle, with the length of the second-longest side being 10 m. The angle of the hypotenuse is 30 degrees. Is there any way, maybe a formula, which could calculate the length of the hypotenuse with this information? -- Darx21 (talk) 07:38, 28 May 2008 (UTC)[reply]

You can use the sine rule to find the length of the side. This is as follows:

- Sin (Angle) = Length of side opposite to angle / Length of Hypotenuse
     - Length of hypotenuse = Length of opposite side / Sin (angle)
- Cos (Angle) = Length of side adjacent to angle / Length of Hypotenuse
- Tan (Angle) = Length of side opposite to angle / Length of side adjacent to angle

(You'll probably need a calculator to work these out for less useful numbers than 30º).

If you're finding it for 30º, the sine of this angle is 0.5, and the cosine of it is (sqrt(3)/2). Depending on which way round the angles and sides are, the length of the hypotenuse will be either 20m or 20/sqrt(3) ~ 11.547m.

Hope this helps. --El Pollo Diablo (Talk) 11:20, 24 June 2008 (UTC)[reply]

Differential Hypotenuse Math Problem

I'm trying to measure the length of carpeting (or paint, or some other "thin" coating material) I need to lay down for stairs (of constant width) in my house. It is a two-dimensional problem, with width of stairs being irrelevant (call it constant). For stairs, the rise + run (Y + X) is the length needed. Say I start out with 10 (N) stairs. Now I modify the stairs with the same rise + run but with smaller steps, say 20. Now 100 steps. Now 1,000,000,000 steps, all with same rise + run. The math suggests the same answer - I need the same length of carpeting no matter how many steps bounded between rise and run. Yet as the number of steps approaches infinity, it seems to me that the answer should be closer to the hypotenuse, What am I doing wrong? — Preceding unsigned comment added by 2600:6C48:7006:200:D84D:5A80:173:901D (talk) 02:27, 17 March 2018 (UTC)[reply]

Additional content

I devised a simple method for estimating the length of an hypotenuse when the lengths of the two legs are known WITHOUT the use of a calculator to do the squares and square roots required when using the Pythagorean Theorem. You can view a short YouTube explanation of this method at .....

           https://www.youtube.com/edit?o=U&video_id=E6D-ZWX4w2s

Please let me know if you agree this would be a good and appropriate addition to this page.

Thanks, in advance, for your consideration.......tom Thomasjjsullivan (talk) 14:43, 14 April 2018 (UTC)[reply]