Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
What is a Perpendicular Bisector of a Segment?
- A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
- Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.
Thus:
VT = RV = 8
VT = 8
Applying Pythagorean Theorem:
VS = √(ST² - VT²)
Substitute
VS = √(17² - 8²)
VS = 15
Find RS using the Pythagorean Theorem:
RS = √(VS² + VR²)
Substitute
RS = √(15² + 8²)
RS = 17
Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:
VT = 8
RS = 17
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