Note: I give two explanations for this problem (both are the same thing) to make the problem more understandable.
Let triangle be an obtuse isosceles triangle with , , and segment .
Here is a general description of the pattern.
Angle is trisected by segments and where and are on side and
Next, angle is trisected by segments and where and are on side and .
Here is an explicit description
Now, given the pattern above, let the point and be the points resulting from the trisection of with .
If can be expressed as where is square free and are co-prime positive integers and is an integer, what is the value of ?
This is part of the set Trevor's Ten
Details and Assumptions
. (And I know what you're thinking, the answer is not 20. Lol, if only it were that simple)
Hint: make an equation for . Don't work with numbers.