If the sides of a triangle are 3 cm, 4 cm, and 5 cm, what type of triangle is it?

A triangle with sides measuring 3 cm, 4 cm, and 5 cm is classified as a right triangle based on the Pythagorean theorem, which states that for a triangle with sides (a), (b), and (c), where (c) is the length of the longest side, the triangle is a right triangle if (a^2 + b^2 = c^2).

In this case, we can identify the lengths of the sides as follows: let (a = 3), (b = 4), and (c = 5). We then calculate (a^2 + b^2):

[

3^2 + 4^2 = 9 + 16 = 25.

]

Next, we calculate (c^2):

[

5^2 = 25.

]

Since (a^2 + b^2) equals (c^2) (25 = 25), this satisfies the condition for a right triangle, confirming that the triangle is indeed a right triangle.

The other classifications of triangles are defined differently. An acute triangle has all angles less than 90 degrees, while an obtuse triangle