Question

Question:
A ten-foot pole is dropped into a milling saw and randomly cut into three shorter poles. What is the probability that these three pieces will form a triangle?

Options:
(1) 1/2
(2) 1/3
(3) 2/3
(4) 1/4

Answer 1

Triangle Inequality Theorem:

For three segments to form a triangle:

• The sum of the lengths of any two segments must be greater than the length of the third segment.

1. 

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Simplify the Conditions:

• 

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Graphical Representation:

1. 

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Probability Calculation:

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Final Answer:

(1) 1/2