To determine whether a right triangle can be formed using the sides a = 3, b = 4, and c = 5, we can use the Converse of the Pythagorean Theorem, which states that if \( a^2 + b^2 = c^2 \), then the triangle is a right triangle.
Let's calculate:
\( a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25 \)
Now, let's calculate \( c^2 \):
\( c^2 = 5^2 = 25 \)
Since \( a^2 + b^2 = c^2 \) (25 = 25), this means that a right triangle can indeed be formed.
Thus, the answer is Option A: Yes, a right triangle can be formed.
So the answer is 1.