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Mars2501 [29]
2 years ago
8

Each figure shows a triangle with one or more medians.

Mathematics
1 answer:
Mars2501 [29]2 years ago
6 0

Applying the centroid theorem, the value of x in the given triangle in the figure is: B. 4

<h3>What is the Centroid Theorem?</h3>

The point where the three median of a triangle meet is the centroid. According to the centroid theorem, the centroid is 2/3 of the distance from each midpoint of the opposite sides to each vertex of the triangle.

Based on the centroid theorem, we have:

FY = 2/3(FS)

Substitute

x = 2/3(x + 2x - 6)

x = 2/3(3x - 6)

3x = 2(3x - 6)

3x = 6x - 12

3x - 6x = -12

-3x = -12

x = -12/-3

x = 4 (option B)

Learn more about the centroid theorem on:

brainly.com/question/20627009

#SPJ1

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