Answer:
[tex]1.3< x < 6.7[/tex] is the correct answer to the given question .
Explanation:
In this question the figure is missing We have attached the figure kindly find it .
Now coming to the answer
With the help of Triangle Inequality Theorem.
The triangle Inequality theorem saying that the total of a sizes of either side of a triangle is larger than the size of a third side
Consider that x be the measurement of the 3rd side triangle
Now apply the theorem of Inequality
(1 )
[tex]4.0+2.7 > x\\\\6.7 > x[/tex]
Update the equation so it will written like that
[tex]x< 6.7 \ units[/tex]
(2)
Again with the help of triangle Inequality theorem
[tex]x+2.7 > 4.0\ \\x\ > 4.0-2.7\ \\x\ > 1.3\ units[/tex]
Hence the possible ranges of the size is [tex](1.3 ,6.7)[/tex]
Therefore the answer is 1.3< x < 6.7
