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Find VT.
Find RS.

(U is on the perpendicular bisector of Segment RT.)
Find UT.


Find VT Find RS U Is On The Perpendicular Bisector Of Segment RT Find UT class=

Sagot :

Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

  • VT = 8
  • RS = 17

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

Learn more about perpendicular bisector here:

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