Question 1206181
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Refer to example 3 and example 4 of <a href="https://www.algebra.com/algebra/homework/Triangles/triangle-inequality-theorem.lesson">this lesson</a>


a = 7
b = 10
b-a < c < b+a
10-7 < c < 10+7
3 < c < 17


If a triangle has sides 7 cm and 10 cm, then the missing side is somewhere between 3 cm and 17 cm where we exclude both endpoints.
Meaning that c = 3 isn't possible, and neither is c = 17.


Of the given answer choices, <font color=red>7 cm</font> and <font color=red>10 cm</font> fit the description above. 
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