Answer:
not congruent
Explanation:
To determine if two triangles are congruent, we need to compare their corresponding sides and angles. In this case, we can compare the side lengths of the given triangle (4 cm, 5 cm, and 6 cm) and see if they match any other triangle.
The given triangle with side lengths 4 cm, 5 cm, and 6 cm is a right triangle with the sides following the Pythagorean theorem (a^2 + b^2 = c^2). We can check if another triangle also satisfies this condition to determine congruence.
Let's check:
Triangle 1: Side lengths 4 cm, 5 cm, and 6 cm
Triangle 2: Side lengths a cm, b cm, and c cm
Using the Pythagorean theorem:
Triangle 1: 4^2 + 5^2 = 6^2 => 16 + 25 = 36 => 41 ≠ 36
Since the two triangles do not satisfy the same side lengths, they are not congruent.
Therefore, the triangles with side lengths 4 cm, 5 cm, and 6 cm are not congruent.