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4) There are 6 poles with lengths 1 ft, 2ft, 3ft, 4ft, 5ft and 6ft. In how many different ways can
you pick 3 poles and make a triangle with them?

 

PLS PLS PLS HELP

 Feb 24, 2022

Best Answer 

 #2
avatar+2438 
0

The triangle side length rule states that the 2 shorter side lengths must always be greater than the biggest side. 

 

Here are all the combinations: 

 

6-5-4  5-4-3   4-3-2

6-5-3  5-4-2   

6-5-2

6-4-3

 

Thus, there are only \(\color{brown}\boxed{7}\) ways to form a triangle. 

 Feb 24, 2022
edited by BuilderBoi  Feb 24, 2022
 #2
avatar+2438 
0
Best Answer

The triangle side length rule states that the 2 shorter side lengths must always be greater than the biggest side. 

 

Here are all the combinations: 

 

6-5-4  5-4-3   4-3-2

6-5-3  5-4-2   

6-5-2

6-4-3

 

Thus, there are only \(\color{brown}\boxed{7}\) ways to form a triangle. 

BuilderBoi Feb 24, 2022
edited by BuilderBoi  Feb 24, 2022

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