Question

If two sides of a triangle measure 3 and 8, what is the range of possible lengths for the third side?

Answer 1

third side range `5 < C<11`

Explanation:

Theorem 1: given 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:
1. `A+B>C`
2. `B+C>A`
3. `A+C>B`

Thus given two sides of A=3 and B=8 C can be:
`8-3< C < 8+3`
C range `5 < C<11`