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   karna :flipflop: :buffsuki: (karna@poa.st)'s status on Thursday, 24-Apr-2025 06:47:59 JST karna :flipflop: :buffsuki:

   Given a rhombus and a circle inscribed inside a right triangle as per pic related. Find the radius of the circle in terms of the triangle's side lengths.

   Originally from a Michael Penn youtube video, who got it from the book Sacred Mathematics - Japanese Temple Geometry by Hidetoshi and Rothman

   #math #geometry #nigger #rape #finance

   • :ihavenomouth: likes this.
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     :ihavenomouth: (inginsub@clubcyberia.co)'s status on Thursday, 24-Apr-2025 07:03:29 JST :ihavenomouth:

     in reply to
     @karna
     >Originally from a Michael Penn youtube video, who got it from the book Sacred Mathematics - Japanese Temple Geometry by Hidetoshi and Rothman
     
     this tells me that there's a simple and elegant solution. I made a mess of trigonometry though, and I don't feel like working it out.
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     T man :sex: :puffgiga: :puffpowerroll: (theorytoe@ak.kyaruc.moe)'s status on Thursday, 24-Apr-2025 09:18:32 JST T man :sex: :puffgiga: :puffpowerroll:

     in reply to
     @karna wouldnt the radius be (3/2)*b?
     considering that it appears that all triangles are similar triangles and the centroid of a triangle is {b/3,h/3} wouldnt the radius of said circle just be the centroid of the little triangle on top? (since its short leg must be b/2 tall)
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     T man :sex: :puffgiga: :puffpowerroll: (theorytoe@ak.kyaruc.moe)'s status on Thursday, 24-Apr-2025 09:18:52 JST T man :sex: :puffgiga: :puffpowerroll:

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     • T man :sex: :puffgiga: :puffpowerroll:
     @karna wait nevermind I may be stupid
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     T man :sex: :puffgiga: :puffpowerroll: (theorytoe@ak.kyaruc.moe)'s status on Thursday, 24-Apr-2025 09:35:17 JST T man :sex: :puffgiga: :puffpowerroll:

     in reply to

     • stacksmash
     @stacksmash @karna retardtoe
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     stacksmash@loli.church's status on Thursday, 24-Apr-2025 09:35:18 JST stacksmash

     in reply to

     • T man :sex: :puffgiga: :puffpowerroll:

     @theorytoe@ak.kyaruc.moe @karna@poa.st stupidtoe

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     a (user@ln.vapid.name)'s status on Thursday, 24-Apr-2025 14:21:37 JST a

     in reply to

     • :ihavenomouth:
     @Inginsub @karna \frac{c(b+a-c)}{2(c+a)}, remember a rhombus is a tilted square, no trigonometry needed
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     karna :flipflop: :buffsuki: (karna@poa.st)'s status on Saturday, 26-Apr-2025 06:46:39 JST karna :flipflop: :buffsuki:

     in reply to

     • :ihavenomouth:
     • CEO of Monoeye Dating
     • T man :sex: :puffgiga: :puffpowerroll:
     • Kazak
     • hazlin no plap pirate

     the time limit is up, here's a solution with no trig nor non-elementary formulae, but with heavy use of similar triangles. here d is the side-length of the rhombus and e is the length of the vertical side of the upper triangle. In the last picture, it is hard to see but the dark purple represents the outer triangle.

     cc @Inginsub @Kazak @hazlin @theorytoe @ceo_of_monoeye_dating

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     karna :flipflop: :buffsuki: (karna@poa.st)'s status on Saturday, 26-Apr-2025 06:46:40 JST karna :flipflop: :buffsuki:

     in reply to

     • :ihavenomouth:
     • Kazak

     @Kazak @Inginsub I'll post a solution tomorrow or day after but in the meantime, a big hint I can give is that drawing perpendicular lines from the center of the circle to where the circle meets the inner triangle's sides is a good first step towards getting ratios of certain lengths