A teacher has three pieces of wood that measure 2 ft, 3 ft, and 6 ft, respectively. The teacher asks four students to explain how many triangles they can make with the pieces of wood. The table shows the students' responses.
Student Response
The three pieces of wood will make no triangles because
1
2 + 3 = 5, and 5 < 6.
The three pieces of wood will make one triangle because
2
2 + 3 = 5, and 5 < 6.
The three pieces of wood will make many triangles because
3
2 + 3 = 5, and 5 > 6.
The three pieces of wood will make one triangle because
4
2 + 3 = 5, and 5 > 6.
Which student is correct?