Answer:
Yes, they are.
Explanation:
Remember that a triangle is only a right triangle if its sides meet this mathematical requirement:
(leg)² + (leg)² = (hypotenuse)²
The hypotenuse of a right triangle is the longest side, while the legs are the two shorter sides. We can't say exactly where √34 is, but since √25 = 5 and √36 = 6, we know it must be at least bigger than 5, making it the triangle's longest side.
Using √34 as the "hypotenuse" and 3 and 5 as the "legs" of our triangle makes the equation 3² + 5² = (√34)², and simplifying gets us
9 + 25 = 34
34 = 34
The requirement's been met, so yes, this is a right triangle.