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5 votes
Can 1,1,2 be the length is a triangle

User Rootkea
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1 Answer

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Alright, so in order to find this, you will nee to use the Triangle Inequality Theorem.
We’ll make the values = to variables to make it easier. a=1 b=1 c=2
All of the inequities need to be true.
a+b>c
b+c>a
c+a>b
Now replace the variables.
1+1>2 2>2 (False)
1+2>1 3>1 (True)
1+2>1 3>1 (True)
Since one is false, 1,1, and 2 cannot make a triangle.
User Intellimath
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