Triangle a b c is shown. side a b has a length of 12. side b c has a length of x. side a c has a length of 15. the value of x must be greater than 0 1 3 7

Here we have to use the Triangle Inequality Theorem, because the problem it's asking about the restriction of one side, with two sides given. This theorem, in words, states that the sum of the minor sides is more than the length of the major sides of all three. So, if we translate this to equation, we have:

Where ; and

Assuming that is the longest side we applied the theorem to this problem. Now, replacing all values we have:

Therefore, the unknown side must be greater than 3 to not violate the Triangle Inequality Theorem, which is always true about every triangle.

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step-by-step explanation: