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2 years ago

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

Mathematics

1 answer:

iragen [17]2 years ago

3 0

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.

<u>When x and 14 are the shortest</u>:

x + 14 > 15

x > 1

<u>When 14 and 15 are the shortest</u>:

14 +15 > x

29 > x

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

1 < x < 29

_____

<em>Additional comment</em>

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

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