Triangle X Y Z has centroid S. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form line segments X W, Y V, and Z T. The length of line segment T S is 3 m minus 1, the length of line segment S Z is 4 m + 8, and the length of line segment X S is 2 m + 12.
S is the centroid of triangle XYZ.

What is the length of SW?

Answer:

it is indeed B

Step-by-step explanation:

a few years late but its fine right

The length of SW will be 9.5. Each median will be divided into segments by the centroid at a ratio of 2:1.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{SZ}{TS} = \frac{2}{1} \\\\ \frac{4m+8}{3m-1} = \frac{2}{1}\\\\ 4m+8 = 2 (3m-1) \\\\ 4m+8 = 6m -2 \\\\ 2 m = 10 \\\\ m = 5[/tex]

The ratio of the centroid divides each median into segments will be 2:1.

[tex]\rm \frac{XS}{SW} = \frac{2}{1}\\\\ \rm \frac{2 m +12}{SW} = \frac{2}{1}\\\\ SW = \frac{19}{2}\\\\ SW = 9.5[/tex]

Hence the length of SW will be 9.5.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

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