The range of values of the third side is 3 < c < 17
How to determine the range of the third length?
To do this, we make use of the following Triangle inequality theorem.
a + b > c
a + c > b
b + c > a
Assume that:
a = 7 and b = 10
The inequalities become
7 + 10 > c
7 + c > 10
10 + c > 7
Solve the inequalities
17 > c
c > 3
c > -3
Remove the negative inequality
17 > c
c > 3
Merge both inequalities
3 < c < 17
Hence, the range of values of the third side is 3 < c < 17
Read more about Triangle inequality theorem at:
https://brainly.com/question/9165828
