Respuesta :

The Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

 a=6   (the lenght of a side of the triangle).
 b=13   (t
he lenght of a side of the triangle).
 c=x    (the length of the third side).

 Therefore:

 c<a+b
 c<6+13
 c<19

 The lenght of the third side is:

 (13-6)<c<19
 7<c<9

In this exercise we have to use the knowledge of triangles to calculate the value of the third side, so we have:

[tex]7

organizing the information given in the statement we find that:

  • a=6
  • b=13  
  • c=x  

Recognition of the Pythagorean theorem we have that will be:

[tex]c

See more about triangles at brainly.com/question/25813512