SOLUTION: If a triangle has sides 4, 5, and x what is the smallest amount possible for x? a) 3 b) Just less than 9 c) Just larger than 1 d) 1

Question 270933: If a triangle has sides 4, 5, and x what is the smallest amount possible for x?
a) 3
b) Just less than 9
c) Just larger than 1
d) 1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.

So 5 has to be shorter than the sum of 4 and something. The smallest that something can be is any amount bigger than 1.

John

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