/sci/ - Science & Math » Thread #14177786

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Solution?

Anonymous Wed 02 Feb 11:12:50 2022 No.14177786 View Reply Original Report

Quoted By: >>14177789 >>14177793 >>14177898 >>14178420 >>14178663 >>14178902 >>14179416

Solve this

Anonymous

Anonymous Wed 02 Feb 2022 11:15:13 No.14177789 Report

Quoted By:

>>14177786
48 + 38 = 86

Anonymous

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Anonymous Wed 02 Feb 2022 11:17:26 No.14177793 Report

Quoted By:

>>14177786
>Find x
It's right there

Anonymous

Anonymous Wed 02 Feb 2022 12:13:25 No.14177898 Report

Quoted By: >>14177924

>>14177786
26 if you assume it is sitting on a right angle.

Anonymous

Anonymous Wed 02 Feb 2022 12:26:10 No.14177924 Report

Quoted By: >>14177985

>>14177898
why would you assume that?
So I guess x is not determinable from the hypothesis right?

Anonymous

Anonymous Wed 02 Feb 2022 12:51:14 No.14177985 Report

Quoted By: >>14178339 >>14178542

>>14177924
Yeah, there isn't enough information.

Anonymous

Anonymous Wed 02 Feb 2022 15:25:44 No.14178339 Report

Quoted By:

>>14177985
The fuck
There is enough information

Anonymous

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Anonymous Wed 02 Feb 2022 15:49:28 No.14178409 Report

Quoted By: >>14178413 >>14178785 >>14179135

X=18
I ended up defining the bottom line as length 1 and using law of sines+cosines but there's probably an easier way

Anonymous

Anonymous Wed 02 Feb 2022 15:50:50 No.14178413 Report

Quoted By: >>14178515 >>14178840

>>14178409
Just use 180 degree rule only

Anonymous

Anonymous Wed 02 Feb 2022 15:53:06 No.14178420 Report

Quoted By:

>>14177786
x = 26 but I can't draw it, I found all the possible angles, then I used transversal properties (coreesponding angles, alternate interior angles, etc)

Anonymous

Anonymous Wed 02 Feb 2022 16:20:14 No.14178497 Report

Quoted By: >>14178553

That alone doesn't let you find X or A

Anonymous

Anonymous Wed 02 Feb 2022 16:32:21 No.14178515 Report

Quoted By: >>14178803

>>14178413
You can't fill all angles with it. You'd get all but the x angle, and the other angle on the opposite side of the hypotenuse.

Anonymous

Anonymous Wed 02 Feb 2022 16:46:28 No.14178542 Report

Quoted By:

>>14177985
You can't change x without changing some known angle. The information should be enough.

Anonymous

Anonymous Wed 02 Feb 2022 16:50:42 No.14178553 Report

Quoted By:

>>14178497
who are you responding to you? do you know how to quote posts?

Anonymous

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Anonymous Wed 02 Feb 2022 17:42:13 No.14178663 Report

Quoted By:

>>14177786
so uuuh did I do it right?

Anonymous

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Anonymous Wed 02 Feb 2022 17:42:44 No.14178666 Report

Quoted By: >>14178696 >>14178740

it's 18 degrees, I used only angle+line construction tools.

This is more fun to me than using retarded triangle rules, but if you want to opt for the latter, here's some tips:

> triangle ABC to caclulate all of the angles in the center
>triangle ABE to get the angle complementing angle x
>triangle ACD using to get the angle ADC
>this leaves us with two missing angles, angle x and angle CDE
>you can find these values solving linear equations from the triangle CED and the bigger triangles BED, ABE

Anonymous

Anonymous Wed 02 Feb 2022 17:51:30 No.14178696 Report

Quoted By: >>14178722

>>14178666
fuck you
nigger

Anonymous

Anonymous Wed 02 Feb 2022 17:56:47 No.14178722 Report

Quoted By: >>14178740

>>14178696
u mad?

Anonymous

Anonymous Wed 02 Feb 2022 18:01:11 No.14178740 Report

Quoted By: >>14178768

>>14178722
yes I am mad
go suck a dick now motherfucker

show the fucking system of equations you mention here
>>14178666

or I will call you a nigger, again

Anonymous

Anonymous Wed 02 Feb 2022 18:10:49 No.14178768 Report

Quoted By:

>>14178740
>proof by construction doesn't count
lmfao hipparchus should've beat you up

Anonymous

Anonymous Wed 02 Feb 2022 18:17:05 No.14178785 Report

Quoted By: >>14178795 >>14178840

>>14178409
The problem is solvable without the need to assume lengths.
>All angles in a triangle must add up to 180
>All angles in a quadrilateral must add up to 360
>Two intersecting lines will form two pair of congruent angles. The sum of these four angles is equal to 360

Anonymous

Anonymous Wed 02 Feb 2022 18:19:50 No.14178795 Report

Quoted By: >>14178873

>>14178785
In the end, you are left with the unknown angle that is directly to the left of x. But since there are at least two triangles containing this angle and x as the only unknown quantities, we can solve for both simultaneously.

Anonymous

Anonymous Wed 02 Feb 2022 18:22:48 No.14178803 Report

Quoted By: >>14178859

>>14178515
You can solve for both using any two triangles that contain them as a system of equations.

Anonymous

Anonymous Wed 02 Feb 2022 18:32:35 No.14178840 Report

Quoted By:

>>14178785
it's not solvable "only using angles", you have to use trigonometric ratios somewhere and hence all the retards in this thread. however it's perfectly acceptable to set some kind of distance to 1 or whatever, and calculate the rest to get the final angle.
>>14178413
this is a retarded bait to mislead people

Anonymous

Anonymous Wed 02 Feb 2022 18:36:36 No.14178859 Report

Quoted By:

>>14178803
you can't. a+b+c=180 is not enough to solve it. you need to use the law of sines/cosines

Anonymous

Anonymous Wed 02 Feb 2022 18:40:34 No.14178873 Report

Quoted By:

>>14178795
>there are at least two triangles containing this angle and x as the only unknown quantities, we can solve for both simultaneously.
you cannot you lying nigger, no matter how you build your system, all the equations end up being that angle plus x equals 68

Anonymous

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Anonymous Wed 02 Feb 2022 18:50:23 No.14178902 Report

Quoted By: >>14179006

>>14177786
These are easy
sin(x)sin(48)sin(46)sin(74) = sin(68-x)sin(38)sin(22)sin(64)
Expanding sin(68-x) = sin(68)cos(x) - sin(x)cos(68) gives:
sin(x)sin(48)sin(46)sin(74) = [sin(68)cos(x) - sin(x)cos(68)]sin(38)sin(22)sin(64)
Dividing by cos(x) gives:
tan(x)sin(48)sin(46)sin(74) = [sin(68) - tan(x)cos(68)]sin(38)sin(22)sin(64)
Move the tans to the left to get:
tan(x)[sin(48)sin(46)sin(74) + cos(68)sin(38)sin(22)sin(64)] = sin(68)sin(38)sin(22)sin(64)
Isolate tan to get:
tan(x) = sin(68)sin(38)sin(22)sin(64)/[sin(48)sin(46)sin(74) + cos(68)sin(38)sin(22)sin(64)]
arctan to get the answer x = 18

Anonymous

Anonymous Wed 02 Feb 2022 19:20:26 No.14179006 Report

Quoted By: >>14179135 >>14181170

>>14178902
seems like too much numbers and letter, is it really the best way to solve it?

Anonymous

Anonymous Wed 02 Feb 2022 19:59:50 No.14179135 Report

Quoted By:

>>14179006
It's probably less effort than >>14178409
It skips computing any of the intermediate side lengths.
The identity is pretty simple. If you multiply the identity in the pic by the length of every spoke, you get the product of the lengths of all of the altitudes (from the center).
I'd be happy to see a simpler formula if you've got one.

Anonymous

Anonymous Wed 02 Feb 2022 20:14:26 No.14179180 Report

Quoted By: >>14179336

This was on /b/ a week ago, they were not able to solve it .. kekzor

Anonymous

Anonymous Wed 02 Feb 2022 20:47:42 No.14179336 Report

Quoted By: >>14179400 >>14179481 >>14181124

>>14179180
isnt b a shithole full of porn and nothing else? why would anyone go there?

Anonymous

Anonymous Wed 02 Feb 2022 21:13:04 No.14179400 Report

Quoted By: >>14181251

>>14179336
For Andy Sixx log meme

Anonymous

Anonymous Wed 02 Feb 2022 21:18:48 No.14179416 Report

Quoted By:

>>14177786
Is it three overlapping triangles or is it a pyramid?

Anonymous

Anonymous Wed 02 Feb 2022 21:33:34 No.14179481 Report

Quoted By:

>>14179336
>isnt b a shithole full of porn and nothing else?
There are many types of cancer growing on it.

>why would anyone go there?
A great variety of reasons. It can still be entertaining somehow, although very infrequently.

Anonymous

Anonymous Thu 03 Feb 2022 08:01:34 No.14181124 Report

Quoted By:

>>14179336
I go there for the roll threads

Anonymous

Anonymous Thu 03 Feb 2022 08:23:21 No.14181170 Report

Quoted By:

>>14179006
I just eyeball.

Looks like an 18° angle to me

El Arcón

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El Arcón Thu 03 Feb 2022 08:56:54 No.14181251 Report

Quoted By:

>>14179400
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