Question 1153522
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<pre>

In this problem, there are TWO restrictions on the length of the third side from the upper:


    a)  the length of the third side should be less than the sum of two other sides

            third side < 82 + 67 = 149 cm,       (1)

  and

     b)  the length of the third side should be less or equal the perimeter MINUS the sum of the lengths of the two other sides


             third side <= 289 - (82+67) = 140.   (2)


Of two restrictions (1) and (2), the stronger is (2), so


             third side <= 140 centimeters.


Further, from the triangle inequalities, the third side length must be greater than the difference 

             third side > 82 - 67 = 15.


So, your final <U>ANSWER</U>  is  15 < third side <= 140 centimeters.
</pre>

Solved.