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If a triangle has one side with a length of 20 meters and a second side with a length of 18 meters​

If a triangle has one side with a length of 20 meters and a second side with a length-example-1

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Answer:

see attached

Explanation:

You want the possible lengths of the third side of a triangle with side lengths 20 m and 18 m.

Triangle inequality

If the third side is length c, the triangle inequality requires ...

18 +c > 20 ⇒ c > 2

20 +c > 18 ⇒ c > -2

18 +20 > c ⇒ c < 38

The possible lengths for the third side (c) are ...

2 < c < 38

That is, the third side must lie between the difference and the sum of the given sides.

The attachment shows the values on the list that are in this range.

If a triangle has one side with a length of 20 meters and a second side with a length-example-1
User Itachi Sama
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