Is it possible to solve all angles of a triangle only knowing one angle and no length

Ali J · 02-02-2011 09:33PM #1

Hello,

First of all, from my knowledge, it's never been done before. This is not a special triangle it is just a triangle with one given angle. I have drawn up a triangle and only gave my self one angle which was 100 Degrees. I started constructing around it etc. It's in a square. I've gotten extremely far is my research and am hoping to crack it. Now, I really would like to know has it been done before using constructions like tangents, bisectors, etc. I imagine if someone did do it they would win the Nobel Prize. And don't forget I'm only assuming it has never been done before. I would appreciate if someone would tell me if it has been done before because I really am only doing it to be the first one to do it. I might take a picture of it on paper and show how far I've gotten but I'm still thinking. Thanks anyway,

Ali J.

kippy · 02-02-2011 09:34PM

Ali J wrote: »

Hello,

First of all, from my knowledge, it's never been done before. This is not a special triangle it is just a triangle with one given angle. I have drawn up a triangle and only gave my self one angle which was 100 Degrees. I started constructing around it etc. It's in a square. I've gotten extremely far is my research and am hoping to crack it. Now, I really would like to know has it been done before using constructions like tangents, bisectors, etc. I imagine if someone did do it they would win the Nobel Prize. And don't forget I'm only assuming it has never been done before. I would appreciate if someone would tell me if it has been done before because I really am only doing it to be the first one to do it. I might take a picture of it on paper and show how far I've gotten but I'm still thinking. Thanks anyway,

Ali J.

No.

Ali J · 02-02-2011 09:36PM

So it's never been done before?

kippy · 02-02-2011 09:37PM

Ali J wrote: »

So it's never been done before?

Its never been done before because its not possible.

This is what you asked:
Is it possible to solve all angles of a triangle only knowing one angle and no length
My answer was in response to that.

Ali J · 02-02-2011 09:40PM

Good, the Nobel Prize is mine then.

kippy · 02-02-2011 09:41PM

Ali J wrote: »

Good, the Nobel Prize is mine then.

Good luck with that.

TouchingVirus · 02-02-2011 09:45PM

Ali J wrote: »

Good, the Nobel Prize is mine then.

I look forward to your proof.

If you only have one angle of a triangle and no length of any of the sides then you cannot possibly solve the other angles, there are infinite solutions.

Fremen · 02-02-2011 09:47PM

When you're done with that, see if you can work out all the angles of a circle.

Davidius · 02-02-2011 09:48PM

Use a protractor.

Ali J · 02-02-2011 09:49PM

kippy wrote: »

Good luck with that.

Indeed. There is no reason why it is impossible. Can you get a theorem or any sort of proof that it is impossible besides that the greatest mathematicians were not able to do it? Even they were wrong in things, like some thought the earth was flat, but it was not. So don't tell me it's impossible. For example, we have a theorem to prove that all the angles in a triangle add up to 180 Degrees. This uses a construction to prove so. Don't worry, enough hard work will do the trick.

partyatmygaff · 02-02-2011 09:54PM

Impossible. To solve for solutions of a triangle you need either three implicit or explicit details of the triangle. You can't possibly solve for all angles of a scalene triangle knowing only one angle.

kippy · 02-02-2011 09:58PM

Ali J wrote: »

Indeed. There is no reason why it is impossible. Can you get a theorem or any sort of proof that it is impossible besides that the greatest mathematicians were not able to do it? Even they were wrong in things, like some thought the earth was flat, but it was not. So don't tell me it's impossible. For example, we have a theorem to prove that all the angles in a triangle add up to 180 Degrees. This uses a construction to prove so. Don't worry, enough hard work will do the trick.

You asked an open question have - well you asked two:
Has this been done before - the answer is no.
The reason why - it isnt possible.
Think about it. Really do.

The reason why it is impossible is that you only have one variable.
2+X=Y - what is Y?
Can you work that one out? If you can then you'll have no issues with the triangle.

People bring up that "earth was flat" nonsense all the time - its got absolutely nothing to do with the claim you are trying to make.

Recon · 02-02-2011 09:58PM

Ali J wrote: »

Indeed. There is no reason why it is impossible. Can you get a theorem or any sort of proof that it is impossible besides that the greatest mathematicians were not able to do it? Even they were wrong in things, like some thought the earth was flat, but it was not. So don't tell me it's impossible. For example, we have a theorem to prove that all the angles in a triangle add up to 180 Degrees. This uses a construction to prove so. Don't worry, enough hard work will do the trick.

You're making my brain hurt, you can't proof something is impossible.

Good luck with that Nobel prize... :rolleyes:

Be sure to post your hypothesis here when you're done!

seanybiker · 02-02-2011 09:58PM

Not a hope

Ali J · 02-02-2011 09:58PM

partyatmygaff wrote: »

Impossible. To solve for solutions of a triangle you need either three implicit or explicit details of the triangle. You can't possibly solve for all angles of a scalene triangle knowing only one angle.

That's because you don't think outside the box. Please give me some proof to show that it is impossible. Give me a formula, give me something that will show it is impossible. No one has done so in this entire thread.

LeixlipRed · 02-02-2011 09:59PM

Wonder is this lad the same lad who was on here last year implying he'd cracked RSA due to his new fancy factorisation algorithm? Seriously though, which Nobel Prize would you win?

muff03 · 02-02-2011 10:00PM

Followed. This'll surely end in tears

TouchingVirus · 02-02-2011 10:00PM

I'm starting to think you're trolling, but I'll indulge you for now.

You have one angle, 100 degrees you say, leaving 80 degrees to be split up between the remaining two angles. What determines where these other two are split - is it 40, 40 or is it 60, 20? Maybe 73.29 and 6.71. What determines the ratio the two remaining angles are split into is the length of one of the sides, wheter it's the adjacent, hypotenuse or the opposite.

Without the exact length of one of the sides you cannot complete your triangle.

Any line you draw to complete this triangle (by joining the two sides with the known angle between them) can be replaced with another line of different length that joins the two sides and completely changes the angles.

It is impossible, it is known to be impossible. It will continue to be until you can prove otherwise. By all means keep trying though

kippy · 02-02-2011 10:00PM

Ali J wrote: »

That's because you don't think outside the box. Please give me some proof to show that it is impossible. Give me a formula, give me something that will show it is impossible. No one has done so in this entire thread.

You want proof - you are the one who comes on here saying it is possible. You prove it.

LeixlipRed · 02-02-2011 10:01PM

Let's play nice for the moment people please.

Ali J · 02-02-2011 10:02PM

kippy wrote: »

You asked an open question have - well you asked
The reason why it is impossible is that you only have one variable.
2+X=Y - what is Y?
Can you work that one out? If you can then you'll have no issues with the triangle.

Non-sense. It's like trying to say that you can't say all the angles is a triangle are equal to 180. Angle 1 + Angle 2 + Angle 3 = X. No variables whatsoever.

02-02-2011 10:02PM

Why don't you go prove it instead of arguing about it here

Ali J · 02-02-2011 10:06PM

bluewolf wrote: »

Why don't you go prove it instead of arguing about it here

But that's what's fun in maths and science. I have all ready said I'm trying to prove it. Don't keep telling me to go do it.

Opinicus · 02-02-2011 10:06PM

in for epic mind exploding theorem of triangular awesomeness!

:rolleyes::rolleyes::rolleyes:

kippy · 02-02-2011 10:06PM

I'm not one to normally back out of a pointless thread, especially when in the middle of an assignment, but really this has to be the most pointless thread I have been in.
With that, good luck with proving what you are setting out to prove - I'll keep and eye out for ya on the noble prize list.

LeixlipRed · 02-02-2011 10:07PM

Right, I'm locking this thread. OP you can email me when your proof is complete and I'll re-open it.

Is it possible to solve all angles of a triangle only knowing one angle and no length

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