Respuesta :

Its 18. a centroid connects the midpoint of one side to the vertex opposite to it. So 9 is 1/2 of YZ and 9 times 2 is 18

Answer:

The length of YZ is 18.

Step-by-step explanation:

we need to find the length of YZ ,

Given triangle YAZ with median at  E

Since, The centroid divides each median in the ratio 2:1.

In figure -1

So, [tex]YB=\frac{YZ}{2}[/tex]

Since, YB = 9

[tex]9=\frac{YZ}{2}[/tex]

Multiply both the sides by 2,

[tex]18=YZ[/tex]

Therefore, the length of YZ is 18.

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