383,059 views
38 votes
38 votes
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

User Don Gorgon
by
3.3k points

1 Answer

13 votes
13 votes


▪▪▪▪▪▪▪▪▪▪▪▪▪&nbsp; {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

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


  • x > 14 - 10


  • x > 4

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


  • x < 14 + 10


  • x < 24

Considering these two inequalities, we get ~


  • 4 < x < 24

User Sumeet
by
2.8k points