The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Applying this theorem:
1. 8 + 4 = 12 < 12 - not a triangle
2. 10 + 15 = 25 > 20, 15 + 20 > 10, 10 + 20 > 15 - forms a triangle
3. 10 + 20 = 30 = 30 - not a triangle
4. 8 + 8 = 16 < 20 - not a triangle
Therefore, the three side lengths that form a triangle are 10, 20, and 15.
Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.
Responses
8, 4, 12
10, 20, 15
20, 10, 30
8, 8, 20
1 answer