Final answer:
The length of segment ST on the coordinate plane with endpoints S (3,2) and T (6,6) is determined using the distance formula, resulting in 5 units which is option C.
Step-by-step explanation:
To find the length of segment ST which lies on the coordinate plane with endpoint S located at (3,2) and endpoint T located at (6,6), we can use the distance formula derived from the Pythagorean theorem:
Distance = √((x2 - x1)² + (y2 - y1)²).
By plugging in the coordinates for S (3,2) and T (6,6), we get:
Distance = √((6 - 3)² + (6 - 2)²)
Distance = √(3² + 4²)
Distance = √(9 + 16)
Distance = √25
Distance = 5 units.
Therefore, the length of ST is 5 units, which corresponds to option C.