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Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?

Answers options:

10 ≤ x ≤ 14


4 ≤ x ≤ 24


10 < x < 14


4 < x < 24

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DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The third side of the Triangle should be greater than the difference of other two sides, so

  • [tex]x > 14 - 10[/tex]

  • [tex]x > 4[/tex]

And, The third side should be less than the sum of other two sides that is ~

  • [tex]x < 14 + 10[/tex]

  • [tex]x < 24[/tex]

Considering these two inequalities, we get ~

  • [tex]4 < x < 24[/tex]

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