Answer:

Explanation:
Given
Two sides of a triangle; 34 and 12
Required
Determine the range of the third side
Represent the third side with X
To determine the range of the third side; two of the following conditions must be satisfied'



Solving 34 + X > 12
Subtract 34 from both sides


Solving 34 + 12 > X


Solving 12+ X > 34
Subtract 12 from both sides


Write out the results



The first inequality will be discarded because it accommodates negative digits;
So, we're left with
and

This can be rewritten as
and

Combine both inequalities;

Hence, the range of the third length is
