Is it possible to construct a triangle with the given side lengths? If not, explain why not.
3, 6, 9

The correct answer is: No, it is not possible to construct triangle with this sides

• Step-by-step explanation: 
• Given:

In triangle, sides are 3 cm, 6 cm and 9 cm.
a = 3, b = 6, and c = 9.

• Step 1:
• First check validity.

According to triangle inequality theorem,

a < b + c,

 3 < 6 + 9

3 < 15, True

 b < a + c,

6 < 3 + 9,

 6 < 12, True

c < a + b,

9 < 3 + 6

9 < 9, false
As sides of triangle does not satisfy triangle inequality theorem.
Hence, triangle cannot be constructed with this sides.

• Final Answer: 

No, it is not possible to construct triangle with this sides.