Answer:
7
Explanation:
The centroid divides the median in a 2:1 ratio. Therefore,
AD = 2DM
x + 3 = 2(2x - 1) Remove parentheses
x + 3 = 4x – 2 Add 2 to each side
x + 5 = 4x Subtract x from each side
3x = 5 Divide each side by 3
x = ⁵/₃
AM = AD + DM
= (x + 3) + (2x – 1)
= 3x + 2 Substitute the value of x
= 3 × ⁵/₃ + 2
= 5 + 2
= 7
Length of median AM = 7.