The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. By applying this theorem, it means that
a + b > c
b + c > a
a + c > b
Therefore,
5 + 9 = 14, 14 > 10
9 + 10 = 19, 19 > 5
5 + 10 = 15, 15 > 9
We can see that the theorem worked with the given traingle. Therefore, the correct option is
