Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.

8, 8, 20
8, 8, 20

10, 20, 15
10, 20, 15

20, 10, 30
20, 10, 30

8, 4, 12

1 answer

8, 8, 20 - This does not form a triangle because the sum of the two smaller sides is not greater than the longest side. (8 + 8 = 16 < 20)

10, 20, 15 - This forms a triangle because the sum of the two smaller sides is greater than the longest side. (10 + 15 = 25 > 20)

20, 10, 30 - This forms a triangle because the sum of the two smaller sides is greater than the longest side. (10 + 20 = 30 > 30)

8, 4, 12 - This forms a triangle because the sum of the two smaller sides is greater than the longest side. (4 + 8 = 12 > 8)