68.3k views
3 votes
What is the range of possible sizes for side x?
8.0
2.5
Please helpp!!

What is the range of possible sizes for side x? 8.0 2.5 Please helpp!!-example-1

2 Answers

5 votes

Answer:

5.5<x<10.5

Explanation:

User CubanX
by
5.4k points
6 votes

Triangle inequality theorem:

In any triangle, the length of any side must be:

  • less than the sum of the lengths of the other two sides.
  • greater than the difference of the lengths of the other two sides.

For the problem you have:

x must be greater than 8.0 - 2.5 and less than 8.0 + 2.5

5.5 < x < 10.5

User Dave Cook
by
5.5k points