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## Main Question or Discussion Point

Hello mathematicians!

I've recently completed a trigonometry course online and find the subject to be of great interest.

I find the laws of sine and cosine fascinating and extremely useful and also, of course, Pythagoras theorem is beautiful as well.

Firstly, I claim no superior knowledge here so if I say something wrong please correct me, that is why I am here.

Now to my question. As I have understood it, for one to make use of the laws of sine or cosine one needs to have some values to get started. I have a hard time figuring out if that is correct. I have used the last days trying to solve a problem I have given myself - however I seem lost and that may be because it's unsolvable!

If I know that a+b+c = x, and that a

For a specific case lets say, a+b+c = 70, and that a

Now if this is solvable I request that you do not post the answer by any means, I simply need to know if that can be solved and I will try again.

Thanks a lot,

//WeW.

I've recently completed a trigonometry course online and find the subject to be of great interest.

I find the laws of sine and cosine fascinating and extremely useful and also, of course, Pythagoras theorem is beautiful as well.

Firstly, I claim no superior knowledge here so if I say something wrong please correct me, that is why I am here.

Now to my question. As I have understood it, for one to make use of the laws of sine or cosine one needs to have some values to get started. I have a hard time figuring out if that is correct. I have used the last days trying to solve a problem I have given myself - however I seem lost and that may be because it's unsolvable!

If I know that a+b+c = x, and that a

^{2}+b^{2}+c^{2}=y, in a right triangle, what is the value of a, b and c, respectively.For a specific case lets say, a+b+c = 70, and that a

^{2}+b^{2}+c^{2}=1682Now if this is solvable I request that you do not post the answer by any means, I simply need to know if that can be solved and I will try again.

Thanks a lot,

//WeW.