Answer:
7 and 31
Step-by-step explanation:
Given: Points A, B, and C are collinear. [tex]AB=12[/tex] and [tex]AC=19[/tex]
To find: Possible value of BC.
Solution: There are two possible cases
Case 1: When B is between A and C.
Now, A, B, and C are collinear.
[tex]AB+BC=AC[/tex]
[tex]12+BC=19[/tex]
[tex]BC=19-12[/tex]
[tex]BC=7[/tex]
Case 2: When A is between C and B.
Now, C, A, and B are collinear.
[tex]CA+AB=BC[/tex]
[tex]19+12=BC[/tex]
[tex]BC=31[/tex]
Hence, the possible values of BC are 7 and 31.
