If Z is the centroid of triangle TUV, TZ=60, XZ=28, and WZ=25, find each missing measure

The measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.

If Z is the centroid of triangle TUV, then the following are true:

ZV = 2ZX

Given that ZX = 28,

ZV = 2(28)

ZV = 56

Similarly, TZ = 2ZY

60 = 2ZY

ZY = 60/2

ZY = 30

Also, ZU = 2WZ

ZU = 2(25)

ZU = 50

TY = 2ZY

TY = 2(30)

TY = 60

XV = XZ + ZY

XV = 28 + 50

XV = 78

Therefore the measure of length ZV, ZY, ZU, TY, and XV are 56, 30, 50, 60, and 78.

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step-by-step explanation:

add the time and multiply by 2

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