SOLUTION: is it possible construct a triangle with side lengths 9, 12, and 22?

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Question 685531: is it possible construct a triangle with side lengths 9, 12, and 22?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
is it possible construct a triangle with side lengths 9, 12, and 22?
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No
Cut some straws, or sticks, and you'll see why not.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
No it is not. Notice how the first two sides add to 9+12 = 21

But the third side is 22.

That third side must be shorter than the sum of the first two sides in order for a triangle to be possible.