Final Answer:
The correct order of the sides from least to greatest in the given triangle is BC, AB, AC. Thus the correct option is c.
Step-by-step explanation:
In a triangle, the sides are typically named by the respective vertices they connect. According to the convention, the sides are denoted as follows: BC (side connecting vertices B and C), AB (side connecting vertices A and B), and AC (side connecting vertices A and C). When listed in ascending order from least to greatest, the sides are ^{C) BC, AB, AC}. This ordering is based on the assumption that the sides are typically represented in alphabetical order of the vertices they connect.
BC is the shortest side of the triangle, connecting vertices B and C. AB is the next in line, connecting vertices A and B. Finally, AC is the longest side, linking vertices A and C. This order holds true under standard conventions in geometry, where the sides of a triangle are listed in ascending order based on their lengths.
Therefore, when considering the sides of the triangle listed in alphabetical order based on the vertices they connect, BC is the shortest, followed by AB, and AC is the longest, representing the correct sequence of the sides from least to greatest.
Thus the correct option is c.