Question

True or False

The segments shown below could form a triangle.
A_________C is 7
C_____B is 9
B_____________A is 12

Answer 1

Triangles have one useful property that lets us identify them from a set of three side lengths: any pair, when added up, will equal a larger number than the third. So:

7+9=16 (which is larger than the other number, 12)
7+12=19 (larger than 9)
9+12=21 (larger than 7)

So the answer is True.