Question

Find the value of x, o is the centroid

Answer 1

x = 14

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

`(3x)/(2x - 7) = (2)/(1)`

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)