Two sides of a triangle have lengths 29 cm and 92 cm. The measure of the third side is a whole number of centimetersa. What is the longest the third side can be?b. What is the shortest the third side can be?

Given:
Two sides of a triangle have lengths 29 cm and 92 cm.
Required:
To measure of the third side is a whole number of centimeters.
Explanation:
The two sides are 29 cm and 92 cm.
The sum of any two sides can not be greater than the third side.
Therefore,
[tex]29+92=121cm[/tex]Therefore, the third side can not be greater than or equal to 121.
And it can not be less than or equal to
[tex]92-29=63cm[/tex]It can take any value between 121 cm and 63cm.
Final Answer:
The longest the third side can be < 121 cm.
The shortest the third side can be > 63 cm.