Two side of a triangle have lengths 13 and 19. Write an inequality to represent the possible lengths for

Question

the third side, x.

Answer 1

To find the possible lengths for the third side x, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have two sides with lengths 13 and 19. Therefore, we can write the inequality as:

13 + 19 > x

This inequality can also be simplified to:

32 > x

So, the possible lengths for the third side x are any values less than 32. Thus, the inequality to represent the possible lengths for the third side x is:

x < 32