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Determine if the triangles with side lengths 4 cm, 5 cm, and 6 cm are congruent.

User Rell
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1 Answer

4 votes

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.

User Ahmed Khattab
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