Question

The side lenghts of a triangle are 14,15, and x units

Answer 1

9514 1404 393

Answer:

  1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

When x and 14 are the shortest:

  x + 14 > 15

  x > 1

When 14 and 15 are the shortest:

  14 +15 > x

  29 > x

Then the requirement for the length of x is ...

  1 < x < 29

_____

Additional comment

The length of the third side of a triangle can be between the difference and sum of the two given sides.