Which set of lengths could represent the triangle? (NEED EXPLANATION)

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Which set of lengths could represent the triangle? (NEED EXPLANATION)

Mathematics
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1. 3,7,10 2. 4, 6, 9 3. 7, 8, 18 4. 6, 7, 14 I chose answer 1 (3, 7, 10) as my answer.
I believe you would use the a^2 + b^2 = c^2 formula, so just plug in the numbers and see what you get
I'm still a bit lost on this. The teacher I was assigned to never went over this content much at all, which is frustrating. Do I take all 3 numbers and plug it into that formula? for example, 3^2 + 7^2 = 10^2?

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hint: in order for three sides to be a triangle, then (first side + second side) > third side
for example: 3,7, and 10 are NOT a triangle because 3 + 7 is NOT greater than 10
Ok, so then would it be the second answer? ( 4, 6, 9) since 4+6 = 10 and 10 is greater than 9

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