YW is the perpendicular bisector of ZT.
If TW = 3, YW = 8, and XZ = 12. Find XY.

Applying the definition of perpendicular bisector and the Pythagorean Theorem, the value of XY is calculated as: 17 units.

Recall:

Considering the diagram attached below, we are given that:

Applying the Pythagorean theorem:

XW = XZ + WZ

XZ = 12 (given)

WZ = TW = 3 (congruent segments)

XW = 12 + 3

XW = 15

Plug in the values of XW and YW into

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XY = 17 UNIT

Step-by-step explanation:

Given:

TW = 3

YW = 8

XZ = 12

Find:

XY

Computation:

TW = ZW = 3

So,

XW = 12 + 3

XW = 15

So

XY = √XW²+YW²

XY = √15²+8²

XY = √289

XY = 17 UNIT

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step-by-step explanation: