Yes these side lengths can make a triangle
The triangle side length rule states that any 2 sides of a triangle are greater than the other side.
Let's use this rule to determine if these side lengths can make a triangle.
4+7=11 and 11 is greater than 10.
4+10=14 and 14 is greater than 7.
7+10=17 and 17 is greater than 4.
These side lengths can make a triangle.
