Euler Line Parallel To Side

The problem

Find the angles of the triangle in which the Euler line is parallel to one of the sides.
Consider the cases:

• one of angles is 30 degrees
• one of angles is 45 degrees
• one of angles is 70 degrees
  and this case itself consists of two cases
  • case one
  • case two

The Hint

• The equation you may wish to prove is here.
• Closely related problem is here.

The Answer

Look here.

The Solution

N/A

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