Answer:
[tex]18cm<X<56cm[/tex]
Step-by-step explanation:
From the question we are told that
First side 37 cm
Second side 19 cm
Generally considering the triangle inequality theorem we have
[tex]37+19>X\\X+37>19\\X+19>37[/tex]
Solving equations we have
[tex]X<56\\X>18\\X>-18[/tex]
Generally from the inequalities the range of X is mathematically given as
[tex]X>18\\X<56[/tex]
[tex]18cm<X<56cm[/tex]
Therefore the range of the Third side is
[tex]18cm<X<56cm[/tex]
