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

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

Can a triangle with the measures of
,
and

exist?
The Triangle Inequality Theorem states that the sum of any sides of a triangle must be than the measure of the third side.

so, only if , ,
This rule must be satisfied for all conditions of the sides.

=> => ->
=> => ->
=> => ->
so, all conditions of the sides are satisfied and this triangle exist

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