The answer should be C,
To solve this question, we have to use the rule of triangle inequality. This means, lengths of the any 2 sides of a triangle added up, must be longer than the remaining side.
Therefore, we can try and see which one of the options fits the rule.
A.
35+25 > 10 ✔️
25 + 10 = 35❌
A cannot make a triangle.
B.
15 + 10 > 5 ✔️
10 + 5 = 15 ❌
B cannot make a triangle.
C.
35 + 45 > 55 ✔️
45 + 55 > 35 ✔️
35 + 55 > 45 ✔️
C can make a triangle.
D.
25 + 25 < 75 ❌
D cannot make a triangle.
Therefore, the answer should be C.