The possible values of x for a valid triangle with side lengths 14, 15, and x are 1 < x < 29
How to determine the possible values of x
From the question, we have the following parameters that can be used in our computation:
Lengths = 14, 15 and x
For a triangle to exist, the sum of any two sides must be greater than the third side.
Considering the three possible pairs of sides and their inequalities, we have
- 14 + 15 > x: This simplifies to 29 > x. So, x must be less than 29.
- 14 + x > 15: This simplifies to x > 1. So, x must be greater than 1.
- 15 + x > 14: This simplifies to x > -1. This is ignored because it is negative
Combining all three inequalities, we have
1 < x < 29
Hence, all possible values of x for a valid triangle with side lengths 14, 15, and x are 1 < x < 29
Question
The length of the size of a triangle are 14, 15 and x. What are all the possible values of x