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

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

• A. Acute
• B. Obtuse
• C. Right
• D. Equilateral

Answer: (C)

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

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