Final answer:
A triangle with side lengths 6 cm, 10 cm, and 12 cm is classified as a scalene triangle.
Step-by-step explanation:
A triangle with side lengths 6 cm, 10 cm, and 12 cm is classified as a scalene triangle. In a scalene triangle, all three sides have different lengths. This is in contrast to an equilateral triangle, where all three sides are equal in length, and an isosceles triangle, where two sides are equal in length.
In this triangle, the side lengths 6 cm, 10 cm, and 12 cm are all different, so it falls under the scalene triangle classification.