In a triangle, the length of a median is divided into two segments by the centroid, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

In this case, BG is the segment from the centroid to the midpoint of the opposite side, and BY is the median.

So, we can set up the equation as follows:

2(BG) = BY
2(2x + 6) = 15
4x + 12 = 15
4x = 15 - 12
4x = 3
x = 3/4

So, x = 0.75.

Question

In a triangle, the length of a median is divided into two segments by the centroid, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

In this case, BG is the segment from the centroid to the midpoint of the opposite side, and BY is the median.

So, we can set up the equation as follows:

2(BG) = BY
2(2x + 6) = 15
4x + 12 = 15
4x = 15 - 12
4x = 3
x = 3/4

So, x = 0.75.

Knowee AI · Accepted Answer

In a triangle, the length of a median is divided into two segments by the centroid, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

In this case, BG is the segment from the centroid to the midpoint of the opposite side, and BY is the median.

So, we can set up the equation as follows:

2(BG) = BY
2(2x + 6) = 15
4x + 12 = 15
4x = 15 - 12
4x = 3
x = 3/4

So, x = 0.75.

Given Triangle ABC with medians AX, BY, and CZ below.If BG is 2x + 6 and BY is 15. Solve for x.x = _________

Question

Given Triangle ABC with medians AX, BY, and CZ below.

Solution

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