The sum of any of the two sides must be greater than the third side.
is 3 + 2/.9 > 5 ? YES
is .....
is .....
is 3 + 2/.9 > 5 ? YES
is .....
is .....
Let's check if this condition holds true for the given measurements:
1. The sum of the lengths of the sides 3 in. and 2.9 in. would be 3 + 2.9 = 5.9 in. This is greater than the length of the remaining side, which is 5 in.
2. The sum of the lengths of the sides 2.9 in. and 5 in. would be 2.9 + 5 = 7.9 in. This is greater than the length of the remaining side, which is 3 in.
3. The sum of the lengths of the sides 3 in. and 5 in. would be 3 + 5 = 8 in. This is also greater than the length of the remaining side, which is 2.9 in.
Since the sum of the lengths of any two sides is greater than the length of the remaining side for all combinations, it is possible to form a triangle using segments with the given measurements.