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gregori [183]
3 years ago
7

Segments CD, AE, and BF are medians of triangle ABC.

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that AM = 4x - 5 and ME=x+3

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

AM=2\times ME

Substituting the values, we get,

4x-5=2(x+3)

Simplifying, we get,

4x-5=2x+6

Subtracting both sides of the equation by 2x, we have,

2x-5=6

Adding both sides of the equation by 5, we have,

2x=11

Dividing both sides of the equation by 2, we get,

x=5.5

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

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