To determine if three side lengths can form a triangle, we can use the triangle inequality theorem, which states that for any triangle with sides of lengths \( a \), \( b \), and \( c \):
- \( a + b > c \)
- \( a + c > b \)
- \( b + c > a \)
Let's apply this to the given side lengths: 6 cm, 8 cm, and 10 cm.
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Check \( 6 + 8 > 10 \):
- \( 14 > 10 \) (True)
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Check \( 6 + 10 > 8 \):
- \( 16 > 8 \) (True)
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Check \( 8 + 10 > 6 \):
- \( 18 > 6 \) (True)
Since all three conditions of the triangle inequality theorem are satisfied, these side lengths can indeed form a triangle.
Thus, the correct response is:
They will form a triangle because the sum of any two of the side lengths is greater than the length of the third side.