Yes, a triangle with side lengths of 3, 4, and 5 can indeed be classified as a right triangle.
This determination is based on the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we can identify the longest side, which is 5. Now, we will check:
- Square of the hypotenuse: 5² = 25
- Sum of the squares of the other two sides: 3² + 4² = 9 + 16 = 25
Since both calculations yield the same result (25 = 25), we conclude that the triangle with sides 3, 4, and 5 satisfies the condition of being a right triangle. Therefore, it is confirmed that the triangle is indeed a right triangle.