Answer: 2,5,9
Step-by-step explanation:
2+5 = 7. 7 is less than 9. It cannot work this way.
Reason:
The first two sides (2 and 5) add to something that doesn't exceed the third side (9). Refer to the triangle inequality theorem.
a+b > c is false when a = 2, b = 5, c = 9
Adding any two sides of a triangle must make the sum larger than the third side. This shows why choice C isn't a possible triangle.
In contrast, choice A is a possible triangle because:
Which shows that all 3 requirements are met. Choices B and D are also possible triangles for similar reasoning.
