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Two sides of a triangle have lengths 5 and 12. Which inequalities represent the possible lengths for the third side, x?

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trombonebookworm


x < 17 is the inequality that represents the possible length of the third side.

calculista

Answer:

\(x> 7\)

\(x< 17\)

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any \(2\) sides of a triangle must be greater than the measure of the third side

Let

x------> the length of the third side

a) \(x+5 > 12\) ------> \(x> 7\)

b) \(12+5 > x\) ----> \(17 > x\) ------> \(x< 17\)

The possible lengths for the third side is the interval------> \((7,17)\)

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