Applying the perpendicular bisector theorem, the length of QS is: C. 17 units.
What is the Perpendicular Bisector Theorem?
According to the perpendicular bisector theorem, any point on a perpendicular bisector is said to be the same distance from both endpoints of the line form which both were drawn on.
Applying the perpendicular bisector theorem, we have:
3x + 2 = 5x - 8
3x - 5x = -2 - 8
-2x = -10
x = -10/-2
x = 5
QS = 5x - 8 = 5(5) - 8
QS = 17 units
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