Answer :
The measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
What is triangle inequality?
"It states that the sum of any two sides must be greater than the third side."
For given question,
we have been given the measures 3.1, 4.8, and 10.2
We need to check whether given measures can be the side lengths of a triangle.
First we check whether the given measures obey triangle inequality or not.
3.1 + 4.8 = 7.9
7.9 < 10.2
This means, the measures 3.1, 4.8, and 10.2 do not obey triangle inequality
Therefore, the measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.
Learn more about the triangle inequality here:
https://brainly.com/question/1163433
#SPJ2