Let's consider the triangle:
Data: L, D and alpha, L is angle bisector
| would like to find out lenght x1 and x2 explicitly as a function of L, D and alpha.
I tried:
https://en.wikipedia.org/wiki/Angle_bisector_theorem
x1/ (d-k) = x2/k
and then 2x law of cosines, but I get fifth degree polynolomial, which could not be solved analitically.
Can anyone help me ?
Data: L, D and alpha, L is angle bisector
| would like to find out lenght x1 and x2 explicitly as a function of L, D and alpha.
I tried:
https://en.wikipedia.org/wiki/Angle_bisector_theorem
x1/ (d-k) = x2/k
and then 2x law of cosines, but I get fifth degree polynolomial, which could not be solved analitically.
Can anyone help me ?