IDNLearn.com makes it easy to find accurate answers to your questions. Find reliable solutions to your questions quickly and easily with help from our experienced experts.
The possible value of the third length is an illustration of Triangle inequality theorem
The possible third lengths are 4 units and 6 units
To determine the third length, we make use of the following Triangle inequality theorem.
a + b > c
Let the third side be x.
So, we have:
x + 6 > 3
x + 3 > 6
3 + 6 > x
Solve the inequalities
x > -3
x > 3
x < 9
Remove the negative inequality value.
So, we have:
x > 3 or x < 9
Rewrite as:
3 < x or x < 9
Combine the inequality
3 < x < 9
This means that the possible value of the third length is between 3 and 9 (exclusive)
Hence, the possible third lengths are 4 units and 6 units
Read more about Triangle inequality theorem at:
https://brainly.com/question/2403556