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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?

Respuesta :

trombonebookworm

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

Answer:

[tex]x> 7[/tex]

[tex]x< 17[/tex]

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any [tex]2[/tex] sides of a triangle must be greater than the measure of the third side

Let

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

a) [tex]x+5 > 12[/tex] ------> [tex]x> 7[/tex]

b) [tex]12+5 > x[/tex] ----> [tex]17 > x[/tex] ------> [tex]x< 17[/tex]

The possible lengths for the third side is the interval------> [tex](7,17)[/tex]

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