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according to the triangle Inequality Theorem, if 20 and 25 are the same length of two sides of a triangle, then that represents all posible lengths for the third side is __

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MrRoyal

The inequality that represents possible lengths of the third side is 45 ≥  c ≥ 5

How to determine the possible third length?

The lengths of the two sides are given as:

20 and 25

Let the third side be c.

The triangle inequality theorem states that:

a + b ≥ c

So, we have:

20 + 25 ≥ c

20 + c ≥ 25

25 + c ≥ 20

Evaluate the inequalities

45 ≥ c

c ≥ 5

c ≥ -5

Remove the negative boundary.

So, we have:

45 ≥ c and c ≥ 5

Rewrite as:

45 ≥  c ≥ 5

Hence, the inequality that represents possible lengths of the third side is 45 ≥  c ≥ 5

Read more about triangle inequality theorem at:

https://brainly.com/question/9165828

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