Geometry Question

Originally posted by GinoJ
Imppressive!

Yes, the answer is 180/7 degrees.

How? It is yet to be proved analytically how the vertex angle A is equal to (pie)/7 radians i.e. 180/7 degrees.

Originally posted by howzzat
How? It is yet to be proved analytically how the vertex angle A is equal to (pie)/7 radians i.e. 180/7 degrees.

The solution given by DeepThought way back in March was good enough, but this pi/7 answer is intriguing, if it was found independantly.

The value of A (180/7 degrees), as claimed , has not been worked out analytically. The solution given by Deep Thought is a numerical solution. If the answer is exactly 180/7 degrees, it stands to reason that it can be proved so analytically. Numerical solution can give approximation to 180/7 degrees up to 30 or 40 decimal places or more but that is not an exact solution.

Originally posted by ranjan sinha
The value of A (180/7 degrees), as claimed , has not been worked out analytically. The solution given by Deep Thought is a numerical solution. If the answer is exactly 180/7 degrees, it stands to reason that it can be proved so analytically. Numerical solution can give approximation to 180/7 degrees up to 30 or 40 decimal places or more but that is not an exact solution.

Yes! If only Gino had explained how he arrived at that value, this would not be raising it's ugly head again now.

A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.

Originally posted by sarathian
A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.

That should finally settle it. Well done.

Originally posted by sarathian
A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.

yeah...that's deceptively simple.