Answer: Yes, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.
Step-by-step explanation:
We know that triangle inequality says that the sum of any two side of a triangle must be greater to the third side of the triangle.
To check 10.5 cm, 8.0 cm, and 4.0 cm be the side lengths of a triangle, we should check the triangle inequality as.
[tex]10.5+8=18.5>4\\10.5+4=14.5>8\\4+8=12>10.5[/tex]
Thus, the given side lengths satisfy the triangle inequality.
Hence, there can be a triangle with the side lengths 10.5 cm, 8.0 cm, and 4.0 cm.
