Break a spaghetti in three. Chances to build a triangle?

Vincent Pantaloni, Oct 5, 2016

You break randomly a spaghetti in three parts. How do you do that? What is the probability that you can make a triangle with these three parts?


  • 1. Viviani's theorem
  • 2. Possible to make a triangle?
  • 3. What are the chances to make a triangle?

1.

Viviani's theorem

Vincenzo Viviani (1622-1703)
[color=#000000]The following applet illustrates[/color] [b][color=#1e84cc]Viviani's Theorem.[/color][/b] [br][br][color=#000000]Be sure to move the [/color][color=#ff7700][b]ORANGE POINT[/b][/color] [color=#000000]and the[/color] [color=#cc0000][b]BIG RED POINTS[/b][/color] [color=#000000]anywhere you'd like prior to (and even after) you start dragging the slider. Carry out this action as many times as you'd like. [/color][br][br][i][color=#000000]Describe [/color][b][color=#1e84cc]Viviani's Theorem[/color][/b][color=#000000] in your own words. That is, write a conditional statement that conveys what this applet illustrates. [/color][/i]
– Vincent Pantaloni, Tim Brzezinski

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