SOLUTION: True or false? It's not possile to build a triangle with side lengths of 7 6 and 9.

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Question 702013: True or false? It's not possile to build a triangle with side lengths of 7 6 and 9.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
True or false? It's not possile to build a
triangle with side lengths of 7 6 and 9.
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Testing:
7-6< 9 < 7+6 true
9-6< 7 < 9+6 true
9-7 < 6 < 9+7 true
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It IS possible to build a triangle with those sides.
Cheers,
Stan H.
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Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
let a = 7, b = 6, and c = 9

Check to see if a + b > c is true

a + b > c

7 + 6 > 9

13 > 9

Since the inequality is true, we can move onto the next part.

Check to see if b + c > a is true

b + c > a

6 + 9 > 7

15 > 7

Since the inequality is true, we can move onto the next part.

Check to see if a + c > b is true

a + c > b

7 + 9 > 6

16 > 6

Since the inequality is true, and the other inequalities are true, this means that you can construct a triangle with these lengths.