Not Mermista 🇵🇸

@Not_mermista@queer.party
132 Followers
229 Following
49 Posts

Do their dreams not matter? Don’t they laugh and cry like other children? Don’t they deserve to live?
- Jeremy Corbyn, on the children of G🅰️za.

Every single life is precious, regardless of where they come from.

BrainFull of bees
Trans rights areHuman rights
Black livesMatter
Married to@JordiGH
@researchfairy Now performing a Gregorian choral arrangement of "The 500 Year Old Butt Song From Hell" by Hieronymus Bosch: https://wellmanicuredman.tumblr.com/post/76381088917
pretty nails and fluffy tails

Hieronymus Bosch - The Music Written on This Dude's Butt [Choral Arrangement] when i saw and heard chaoscontrolled123's wonderful post about the 600 years old butt song from hell i just knew that i...

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Winter has visited San Antonio.

And by 'winter', I mean it's chilly, rainy and 40° F (4° C) this morning. Which isn't too bad to me, a Chicago native, but it does mean that I woke up buried under three cats.

I'm going to try to post more puzzles (one of my favorite parts of twitter and not quite here yet)
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I'm going to try to post more puzzles (one of my favorite parts of twitter and not quite here yet)
@benleis Great idea! And a nice one to start with 😀
@benleis Complete the rectangle outlined by the segments of length 7 and 9. The diagonal of the given square is the hypotenuse of a right triangle with legs (14+9) and 7. The square's diagonal is thus \(17\sqrt{2}\), and the side of the square is 17.
@benleis, not as neat as @jsiehler's solution: horizontally \(x=23a-7b\), and vertically \(x=23b+7a\). Squaring both equations and adding, \(2x^2=578(a^2+b^2)\), but \(a^2+b^2=1\), so \(2x^2=578\) and \(x^2=289\), and then \(x=17\).
@benleis alt text: "Determine the square's side X", a picture of a square, with one side labeled X. Starting at the bottom left, there is a red line marked 14. The Red line is connected by a right angle by a green line marked 7. The green line is connected by a right angle to an ugly-green line marked 9. The ugly-green line terminates in the upper-right corner of the square.

Nice maths puzzle - thanks for the alt text. Also some hashtags will help discoverability.

#math #puzzle

@MrsMouse @benleis

@benleis is it sin(45degrees) * sqrt(7^2 + (14+9)^2)?
@autumnal Yes but we know that by a much simpler name ...
@benleis Assuming you mean the numerical result i left it un-computed because that way someone could reverse engineer what i might have been trying to do, maybe. Python says it is approximately seventeen though

@autumnal Nothing approximate about it. :)

There really ought to be some kind of way to formulate that if an algebraic integer looks like an integer,then it is.

@benleis Ok can someone explain? I'm all dizzy here 

@yuki2501 @benleis the diagrams that @MrsMouse made are pretty helpful:

https://social.dsmouse.net/@MrsMouse/109276765918410985

first consider that you can turn that inner "lightning bolt shape" to the legs of a right angled triangle, length 7 and 14+9. you can imagine the 7 and the 9 forming a rectangle, or just 'sliding' outward. from there it's all pythagoras, basically.

Mrs Mouse :verified: :queer: (@MrsMouse@social.dsmouse.net)

Attached: 1 image @JordiGH@mathstodon.xyz this is I tried it

Mastodon
@benleis This was fun. I would enjoy more puzzles.

@benleis
c'est 17

Il suffit de prolonger le trait rouge,
et de tracer la parallèle au trait vert.
en fait de tracer un carré...
On a un trait rouge de 23,
On trouve que le carré de la diagonale du carré est 23^2 + 7^2=578