eliguelrosas
eliguelrosas eliguelrosas
  • 10-08-2021
  • Mathematics
contestada

In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60

In ATUV Y is the centroid If TY 30 what is YW A15 B45 C30 D60 class=

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Аноним Аноним
  • 10-08-2021

We know at centroid medians bisect each other in the ratio 2:1.

  • TY=30
  • Let YW be x

[tex]\\ \sf\longmapsto TY=2x[/tex]

[tex]\\ \sf\longmapsto 2x=30[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

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jimrgrant1 jimrgrant1
  • 10-08-2021

Answer:

A

Step-by-step explanation:

On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then

YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15

Answer Link

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