Could 7.7 cm, 4.0 cm, and 1.7 cm be the side lengths of a triangle?

YES OR NO?

No

Step-by-step explanation:

In a triangle, the length of any side must be between the difference and sum of the lengths of the other two sides.

Can 1.7 cm be a side for sides 7.7 cm and 4.0 cm?

7.7 cm - 4.0 cm = 3.7 cm

7.7 cm + 4.0 cm = 11.7 cm

For sides with lengths 7.7 cm and 4.0 cm, the third side would have to have a length between 3.7 cm and 11.7 cm. Since 1.7 cm is less than 3.7 cm, these three lengths of sides cannot form a triangle.