SPOILER ALERT - Broken Spaghetti Solution in 2D

SPOILER ALERT - this is the solution to the broken spaghetti problem. Call the three lengths of the spaghetti x, y, and z Then, the boundaries exist when either x=5, y=5, or z=5 These are represented by the boundaries of the blue triangle on the right, top, and bottom left, respectively Move the RED point around to experiment with different possibilities. Each location of the point corresponds to a unique x, y, z You can see the sample space is the entire grey triangle, and the solution set is the smaller blue triangle Points in triangle I correspond to values of Y that are too large Points in triangle II correspond to values of X that are too large Points in triangle III correspond to values of Z that are too large