Answer :

[tex]answer = 4.5 \\ solution \\ uj = 9 \\ vj = 3 \\ \frac{uj}{jy} = \frac{2}{1} \\ or \: \frac{9}{jy} = \frac{2}{1} \\ or \: 2 \times jy = 9 \times 1 \\ or \: 2 \: jy = 9 \\ or \: jy = \frac{9}{2} \\ jy = 4.5 \\ hope \: it \: helps[/tex]

The length of JY is 4.5 units.

What is Centroid of a Triangle?

Centroid of a Triangle is defined as three medians of a triangle intersect to produce the centroid of the triangle. It is one of a triangle's four points of concurrent.

Given data as :

In triangle ΔSZU,

Length of UJ=9,

Length of VJ=3,

To determine the length of JY

Since, UJ and JY are medians and J centroid in triangle ΔSZU

The medians are divided into a 2:1 ratio by the centroid.

So, UJ/JY = 2/1

⇒ 9/JY = 2/1

⇒ 2JY = 9

⇒ JY = 9/2

JY = 4.5 units

Hence, the length of JY is 4.5 units.

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