Is it possible to construct a triangle whose sides measure 6 cm, 5 cm and 10 cm?

Triangle Equality Theorem: For any triangle, the sum of lengths of two sides is always greater than the length of third side.

The lengths of the sides are 6 cm, 5 cm and 10 cm.

Trying for different combinations of sum of sides,

⇒ 5 cm + 6 cm > 10 cm

⇒ 6 cm + 10 cm > 5 cm

⇒ 5 cm + 10 cm > 6 cm

Hence, a triangle with these sides is possible.