Question

Question 9 (3 points)

Two sides of a triangle are 14 centimeters and 18 centimeters. What are all possible values for the length x of the third side?

Answer 1

The possible values for the length x of the third side of the triangle are any number less than 32.

Step-by-step explanation:

To find the possible values for the length of the third side of a triangle, we need to use the Triangle Inequality Theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. So, for the given triangle with side lengths of 14 cm and 18 cm, we can set up the following inequality:

14 + 18 > x

Simplifying, we get:

32 > x

Therefore, the possible values for the length x of the third side are any number less than 32.

Learn more about Triangle Inequality Theorem