Answer:
Yes, a a triangle can be formed with the side lengths 12 in., 8 in., 17 in.
Step-by-step explanation:
If the provided side lengths belong to a triangle then the sum of any two sides is more than the third side.
The side length provided are: 12 in., 8 in. and 17 in.
The sum of these two sides is: [tex]12 + 8 = 20[/tex]
The sum 20 in. is more than the third side 17 in.
The sum of these two sides is: [tex]12+17=29[/tex]
The sum 29 in. is more than the third side 8 in.
The sum of these two sides is: [tex]8+17 = 25[/tex]
The sum 25 in. is more than the third side 12 in.
Thus, the sides 12 in., 8 in. and 17 in. can be used to form a triangle.
