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Anonymous Wed 11 Nov 11:30:43 2020 No.12329786 View Reply Original Report

Quoted By: >>12329815 >>12329831 >>12329839 >>12330169

i'm a high schooler and my math teacher is teaching this ASA SAS SSS HL stuff and i don't get it. i ask questions but she always says that i've asked that question before but she never even answered it. i tried looking into it on sites given but i don't get it. i don't think she gets it either, i think she just says what's right and wrong from a website.

Anonymous

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Anonymous Wed 11 Nov 2020 11:45:36 No.12329815 Report

Quoted By: >>12329827 >>12329837

>>12329786
HL?
Anyway, I assume you mean "why does X work, but not Y". First off, why always 3 numbers. That one is comparably simple. I assume it's obvious enough that a triangle is uniquely described by three points in 2D space: $(x_{1},y_{1}),(x_{2},y_{2}),(x_{3},y_{3})$ . We consider any two triangles that are just shifted and rotated "the same". That means we can always shift the triangle such that one of the three points is in some fixed location, and rotate the triangle such that the second point rests on some axis. Hence, only 3 parameters remain. This doesn't change if you describe a triangle with lengths and angles. So far so clear?

Anonymous

Anonymous Wed 11 Nov 2020 11:54:57 No.12329827 Report

Quoted By: >>12329846 >>12329854 >>12329871

>>12329815
HL as in hypotenuse length and i mean more along the lines of classifying the given information on a triangle as on of the above SSS things. let's say there's a triangle and you are given 2 angles, from what i'm told you include the side length and you set that up but this teacher told me that it's recorded from a visual point of view. as in looking left to right. i went on a tengent but my base question is what system do i put a triangles given information through to dictate what category i put it in.

also i got none of that. i think you're talking about position related to a spot but i'm 1st year highschool.

Anonymous

Anonymous Wed 11 Nov 2020 11:58:26 No.12329831 Report

Quoted By:

>>12329786
Are you asking why this information is enough to completely determine the triangle up to a dilation, or what? I don't even understand what you're asking.

Anonymous

Anonymous Wed 11 Nov 2020 12:01:54 No.12329837 Report

Quoted By: >>12329843

>>12329815
Maybe I should also preemptively add why some combinations work and some don't
>AAA
Since angles don't change when you scale a triangle by a factor, this combination is shared by triangles up to a scaling factor. Hence, not unique.
>ASA
this must be unique since the angles plus the endpoints of the line of length S uniquely define two lines, and lines can only intersect at one point. The only problem that occurs is if the lines end up parallel. Then there is no corresponding triangle at all.
>SSS
this one is unique because you can think of it as a construction where you have one side of length S1 with two circles of radius S2 and S3 respectively. The reason this is unique (if the two circles intersect) is that both intersection points yield the same triangle up to rotation.
>SAS
that's obviously unique because all you have to do is connect the remaining ends.
The more interesting question is, what about:
>ASS,SSA,AAS,SAA

Anonymous

Anonymous Wed 11 Nov 2020 12:02:11 No.12329839 Report

Quoted By:

>>12329786

ASA-By having two angles drawn in a line, the point where they will intersect (the third point) depends only on the distance between them. So if two triangles have the same two angles, and the linear distance (side) between them is the same, the intersection point will be the same

SAS - Two sides are fixed length. If you fix the angle between them there is only one possible size for the remainder side.

SSS- Two sides define one angle. The other side must be connected to the other two at the same time, thus those angles can only have one value each since a1+a2+a3 = 180 always

Anonymous

Anonymous Wed 11 Nov 2020 12:04:24 No.12329843 Report

Quoted By: >>12329857

>>12329837
my teacher just tells me that ASS doesn't exist because it's ass. also thank you this helped a lot.

Anonymous

Anonymous Wed 11 Nov 2020 12:05:07 No.12329846 Report

Quoted By: >>12329852

>>12329827
>also i got none of that.
that's not the point of that, that was just to explain why it works on a fundamental level.
>what system do i put a triangles given information through to dictate what category i put it in
I'm not sure I understand. Can you give an example exercise and tell me where you're stuck?

Anonymous

Anonymous Wed 11 Nov 2020 12:09:20 No.12329852 Report

Quoted By: >>12329865 >>12329869

>>12329846
ok so there're 2 triangles and i'm given that they are both right triangles, and that one of their sides are the same length. i get stuck on how to relate that information to a definition.

Anonymous

Anonymous Wed 11 Nov 2020 12:10:10 No.12329854 Report

Quoted By:

>>12329827
>1st year highschool
Alles klar, time to get banned.

Anonymous

Anonymous Wed 11 Nov 2020 12:13:17 No.12329857 Report

Quoted By:

>>12329843
To answer, both AAS and SAA work, because all three angles are uniquely given (the 3rd is implicit) and the side fixes the needed scale that AAA lacks. ASS and SSA are not unique because the angle specifies a line on one end, and the second side specifies a circle on the other. Since a line can intersect a circle twice, this construction is not unique.

Anonymous

Anonymous Wed 11 Nov 2020 12:17:21 No.12329865 Report

Quoted By:

>>12329852
well, it immediately follows you know one side and one angle, meaning SSS is already out of the question. However, the information is incomplete. Why two triangles?

Anonymous

Anonymous Wed 11 Nov 2020 12:19:27 No.12329869 Report

Quoted By: >>12329876

>>12329852
You have only one right angle and one given side.
How many valid triangles can you build?

Anonymous

Anonymous Wed 11 Nov 2020 12:20:40 No.12329871 Report

Quoted By: >>12329912

>>12329827
RIP man, you gotta at least try to pretend to be older
While I have you appreciate what you have right now
Understand that you have had happy memories in the past, you do now, and you will later. If they ever stop know it's not over.
I don't know
With all the thinking and borderline-schizo (wishful thinking LOL :D) rambling I do I should really know what to tell myself at 14.
If it were really me I might try to break you down a bit, destroy that ego. I'd call you a pussy and tell you to just do it. I'd probably just give you a bunch of generic unhelpful advice I'd hate to hear.
I guess the only real advice is time. I'm still retarded, still waiting to not be retarded. I'm still delusional and narcissistic but I guess I can see that it all leads somewhere. Or maybe I just die.
But you're not me anyways, you're just a kid. Just appreciate what you have, love your friends
It's not over til it's over
I just wanna talk to myself at 14 that'd be cool
Also don't look for answers in noise
I don't know if that has any applications anywhere beyond one very specific situation of a solitary internal system but maybe it does
If I say enough words at least one should have meaning to you

Anonymous

Anonymous Wed 11 Nov 2020 12:23:36 No.12329876 Report

Quoted By:

>>12329869
Try drawing them and see that you miss a constraint.

Anonymous

Anonymous Wed 11 Nov 2020 12:44:11 No.12329912 Report

Quoted By: >>12329929

>>12329871
i'm not depressed whatsoever. i mean just think about it dude. you can go outside, walk to a less urban area, and lay down. that's the dream right there and it's easy to access. although i think i'm getting there, i don't think i've talked to anybody my age in half a year.

Anonymous

Anonymous Wed 11 Nov 2020 12:57:21 No.12329929 Report

Quoted By:

>>12329912
I've never once been depressed (that's not entirely true, there was a ~2 day bout of depression I felt once a few months ago when all the delusion dropped)
Depression != Unhappiness
My problem is often not being happy with myself or my situation. Discontentness. I find short term joy in jacking off and watching British panel shows and writing rambling posts on here. But I still feel that unhappiness with my life as a whole. Escapism is not total escape, it's just a cope.
Don't lose those people, man. Right now are your moments of development. If you miss out it becomes so much harder to ever compete.
I got lucky my Junior year when I moved to community college with a bunch of others in my school district. It was like starting high school again, and it paid off.
Still, there's something wrong with me toddy and it's all in how I developed. Develop adequately, at least.
Fuck Covid, man. It's fucked my mental health and my relationships (not on its own, I guess, but still). It's fucked a lot of people. Just try to salvage your development. It's not over til it's over.

Anonymous

Anonymous Wed 11 Nov 2020 15:05:04 No.12330169 Report

Quoted By:

>>12329786
Don't worry, I'm sure your understanding of math is still higher than the average /sci/ user.

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