Concept:For any triangle, the sum of the lengths of any two sides must be greater than the third side.
Explanation:Check each option using the triangle inequality.
Option A: 3 cm + 3 cm = 6 cm, which is not greater than 6 cm. So, triangle is not possible.
Option B: 5.9 cm + 4.6 cm = 10.5 cm, which is greater than 6.3 cm. All pairs satisfy the condition. So, triangle is possible.
Option C: Convert 105 mm = 10.5 cm, 39 mm = 3.9 cm. Check 3.9 cm + 6.5 cm = 10.4 cm, which is not greater than 10.5 cm. So, triangle is not possible.
Option D: 3.5 cm + 5.3 cm = 8.8 cm, which is not greater than 9.2 cm. So, triangle is not possible.
Answer:Option B: 6.3 cm, 5.9 cm, 4.6 cm