Is it possible to construct a triangle with the given side lengths? If not, explain why not 28, 34, 39

The correct answer is: Yes, it is possible to construct triangle with this sides.

• Step-by-step explanation: 
• Given:

In triangle, sides are 28 cm, 34 cm and 39 cm.
a = 28, b = 34, and c = 39.

• Step 1:
• First check validity.

According to triangle inequality theorem,

a < b + c,

 28 < 34 + 39

28 < 73, True

 b < a + c,

34 < 28 + 39,

 34 < 67, True

c < a + b,

39 < 28 + 34

39 < 62, True
As sides of triangle satisfy triangle inequality theorem.
Hence, triangle can be constructed with this sides.

• Final Answer: 

Yes, it is possible to construct triangle with this sides.