QHE Question: A piece of wood 20 cm long is cut into three pieces at random. What is the probability that the three pieces can form a triangle?


A  B  C  D  E  
0  less than 0.5  0.5  more than 0.5  1  


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Alternatively, you can use this Cabri Géomètre II plus figure to create random triangles. You can download a demo version of Cabri here. 

Extension question  If a point P is randomly placed on AB with midpoint M, what is the probability that AP, PB and AM can be made to form a triangle? 