Question

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?

Answer 1

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.

Step-by-step 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,

`29+92=121cm`

Therefore, the third side can not be greater than or equal to 121.

And it can not be less than or equal to

`92-29=63cm`

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.