Which classification best represents a triangle with a side lengths 6 cm,10 cm, and 12 cm ?

It would be an obtuse scalene triangle.

EDITED TO ADD:

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:

1) Square all 3 sides.

2) Sum the squares of the 2 shortest sides.

3) Compare this sum to the square of the 3rd side.

if sum > 3rd side²   Acute Triangle

if sum = 3rd side²   Right Triangle

if sum < 3rd side²   Obtuse Triangle

6^2 = 36

10^2 = 100

12^2=144

36 + 100 = 136 and this is less than 144 so it is an obtuse triangle.

Step-by-step explanation: