- Summary
- geometry, determining number of independet equations

Hi everyone,

In geometry problems involved with triangles (inside a circle in my case), I can write different equations based on some known measures using pythagoras theorem, similarity , trigonometric and geometric relations. But, if I write all these equations I propably get some dependent equations.

My question is: how can I avoide depending equations? in other words, for n given triangles, how many independet equations/relations i can write?

Also, please note if there are dependent equations/relations in which using one- you may not use the other, otherwise you get dependent equations.

Thanks

In geometry problems involved with triangles (inside a circle in my case), I can write different equations based on some known measures using pythagoras theorem, similarity , trigonometric and geometric relations. But, if I write all these equations I propably get some dependent equations.

My question is: how can I avoide depending equations? in other words, for n given triangles, how many independet equations/relations i can write?

Also, please note if there are dependent equations/relations in which using one- you may not use the other, otherwise you get dependent equations.

Thanks