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# pls help someone im running out of time pls

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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

#2
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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
+1384
+1

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