Question 253705: Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no.
1. 2,3,4
2. 5,7,9
3. 4,8,11
4,13,13,26
5. 9,10,20
6. 15,17,19
7. 14,17,31
8. 6,7,12
Can you please explain how to do this please? :)
Found 2 solutions by stanbon, scott8148:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no.
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General Rule: Each PAIR of sides must have a sum
that is GREATER than the 3rd side.
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1. 2,3,4 -----------yes
2. 5,7,9 -----------yes
3. 4,8,11 ----------yes
4,13,13,26 ---------no because 13+13=26 so the figure would be a line
5. 9,10,20 ---------no, because 9+10<20
6. 15,17,19 --------yes
7. 14,17,31 --------no because 14+17=31 so the figure would be a line
8. 6,7,12 ----------yes
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Cheers,
Stan H.
Answer by scott8148(6628)  (Show Source):
You can put this solution on YOUR website! in order for the triangle to "close up", the largest side MUST be LESS than the sum of the other two sides
1. 2,3,4 __ ok
2. 5,7,9 __ ok
3. 4,8,11 __ ok
4,13,13,26 __ NG
5. 9,10,20 __ NG
6. 15,17,19 __ ok
7. 14,17,31 __ NG
8. 6,7,12 __ ok
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