Answer:
[tex]7<c<12[/tex]
Step-by-step explanation:
two sides of a triangle are 5 and 12 inches long
The sides of triangle a= 5 and b = 12
To form a triangle
[tex]a+b>c, a+c>b \ and \ b+c>a[/tex]
[tex]a+b>c[/tex]
[tex]5+12>c[/tex]
[tex]17>c[/tex]
[tex]a+c>b[/tex]
[tex]5+c>12[/tex]
[tex]c>7[/tex]
Combine both inequalities
[tex]c<12, c>7[/tex]
[tex]7<c<12[/tex]
