The set of side measurements that could be used to form a triangle is 8, 9 and 15
If a, b and c are the sides of the triangle
Then a + b > c
b + c > a
c + a> b
The first set of sides are
4, 6, 12
4 + 6 > 12
10 < 12
It will not form a triangle
The second set of sides are
5, 19 and 24
5 + 19 > 24
24 = 24
It will not form a triangle
The third set of sides are
6, 10 and 17
6 + 10 > 17
16 <17
It will not form a triangle
The fourth set of sides are
8, 9 and 15
8 +9 > 15
17 > 15
8+15 > 9
23 > 9
9 + 15 > 8
24 > 8
It will from a triangle
Hence, the set of side measurements that could be used to form a triangle is 8, 9 and 15
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