How can you find the length of the green line? The blue lines have a length of 8. Right angles are marked.
(Diagram not to scale)
EDIT: Here's a second diagram (The green lines are not the same length just focus on the bottom and the yellow-purple angle is 90 degrees):
EDIT2: The relative sizes are:
For the red-brown triangle sides: Red 1.0, bottom brown 1.59149, right brown 1.23808
For the green-blue-brown triangle: Green 1.0, top blue with right brown 1.59149, bottom blue-brown 1.23808
EDIT3: The problem I'm trying to solve is "what should the length of the green and orange lines (from the diagram below) be in order for the blue lines to be equal?":