Question

The side lengths of a triangle are 10, 17, and x units.1017(The figure above gives only one possible configuration for the triangle.)Determine the possible values of x.Write your answer as an inequality.Use x only once in your inequality.OOSODO

Answer 1

7 < x < 27

Step-by-step explanation:

If we have two sides of a triangle with lengths a and b, the third side will be a value between a - b and a + b or:

a - b < x < a + b

Where x is the other side.

In this case, the lengths are 17 and 10, so the inequality will be:

17 - 10 < x < 17 + 10

7 < x < 27

So, the answer is:

7 < x < 27