Final Answer:
The side in the image corresponding to BA is the hypotenuse of the right-angled triangle.
Step-by-step explanation:
In a right-angled triangle, the side opposite the right angle, denoted as the hypotenuse (usually labeled as "c"), is the longest side. According to the Pythagorean theorem, in a right triangle where BA is the hypotenuse, if the other two sides are AC and BC, then

The hypotenuse is opposite the right angle and has the longest length compared to the other two sides. It represents the side directly opposite the triangle's right angle, which in turn determines the nature of the triangle as a right-angled triangle.
Therefore, in this specific context, if BA is identified as the hypotenuse in the image, it implies that the triangle formed by BA, AC, and BC is a right-angled triangle. This distinction holds true within the context of basic geometric principles, where the hypotenuse is defined as the side opposite the right angle in a right-angled triangle.