Answer:
The required range is [tex]7<C<23[/tex].
Step-by-step explanation:
Consider the provided information.
Let the side A = 15 and the side B = 8
Theorem 1: For a triangle with sides A, B, and C the sum of the lengths of any two sides of a triangle must be greater than the third side:
[tex]A+B>C[/tex] ....(1)
[tex]B+C>A[/tex] ...(2)
[tex]A+C>B[/tex] ....(3)
By using equations 1 and 2.
Therefore, [tex]A-B<C<A+B[/tex]
[tex]15-8<C<15+8[/tex]
[tex]7<C<123[/tex]
Hence, the required range is [tex]7<C<23[/tex].
