Steve has three steel beams. Beam A is 3 yards long, beam B is 6 yards long, and beam C is 10 yards long. If the full length of each beam is used, can the three steel beams be placed together to form a triangle?
To determine if the three steel beams can form a triangle, we need to check if the sum of the lengths of any two beams is greater than the length of the third beam.
Let's check each combination:
1. Beam A (3 yards) + Beam B (6 yards) = 9 yards, which is greater than Beam C (10 yards)
2. Beam A (3 yards) + Beam C (10 yards) = 13 yards, which is greater than Beam B (6 yards)
3. Beam B (6 yards) + Beam C (10 yards) = 16 yards, which is greater than Beam A (3 yards)
Since in all three cases the sum of the lengths of any two beams is greater than the length of the third beam, the three steel beams can be placed together to form a triangle.