Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
[tex]\frac{3x}{2x - 7} = \frac{2}{1}[/tex]
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)
