SOLUTION: Can a triangle with the measures of 5.0, 2.6 and 4.2 exist?

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Question 1009946: Can a triangle with the measures of 5.0, 2.6 and 4.2 exist?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Can a triangle with the measures of
a=5.0,
b=2.6 and
c=4.2
exist?
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

so, only if a%2Bb%3Ec, a%2Bc%3Eb, b%2Bc%3Ea
This rule must be satisfied for all 3 conditions of the sides.

a%2Bb%3Ec+=> 5.0%2B2.6%3E4.2 => 7.6%3E4.2 -> true
a%2Bc%3Eb => 5.0%2B4.2%3E2.6 =>9.2%3E2.6 -> true
b%2Bc%3Ea=> 2.6%2B4.2%3E5.0 =>6.8%3E5.0 -> true
so, all 3 conditions of the sides are satisfied and this triangle exist