Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.
A) 20,10, 30
B) 8, 8, 20
C) 8, 4, 12
D) 10, 20, 15
A) 20, 10, 30
Since the sum of the two shorter sides must be greater than the longest side for a triangle to be formed, we can apply the Triangle Inequality Theorem.
20 + 10 > 30 --> 30 > 30 (True)
10 + 30 > 20 --> 40 > 20 (True)
20 + 30 > 10 --> 50 > 10 (True)
Therefore, the side lengths 20, 10, and 30 can form a triangle.