Based on the Triangle Inequality Theorem, a triangle can only be formed if the sum of the two shorter sides is greater than the longest side.
1. For side lengths 8, 10, 3:
8 + 3 = 11 > 10
10 + 3 = 13 > 8
8 + 10 = 18 > 3
Therefore, side lengths 8, 10, and 3 can form a triangle.
2. For side lengths 1, 2, 3:
1 + 2 = 3 < 3
1 + 3 = 4 > 2
2 + 3 = 5 > 1
Therefore, side lengths 1, 2, and 3 cannot form a triangle.
3. For side lengths 8, 3, 12:
8 + 3 = 11 < 12
8 + 12 = 20 > 3
3 + 12 = 15 > 8
Therefore, side lengths 8, 3, and 12 cannot form a triangle.
4. For side lengths 10, 9, 1:
10 + 9 = 19 > 1
10 + 1 = 11 > 9
9 + 1 = 10 > 1
Therefore, side lengths 10, 9, and 1 can form a triangle.
Apply the Triangle Inequality Theorem to determine which side lengths will form a triangle.
Responses
8, 10, 3
1, 2, 3
8, 3, 12
10, 9, 1
1 answer