I signed with blood, I can't just walk away and never come back.
Geometry challenge!
In this diagram, the blue lines are of lengths 6, 8, and 12 respectively, and the red lines are all of the same unknown length and parallel to the blue lines. What is the common length of all the red lines?
The following noders are awesome and have solved the problem, in the order that they've submitted their solution to me:
You can still solve this while I'm gone, promise to update the list when I get back.