Answer:
18cm
Step-by-step explanation:
A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
A centroid of a triangle is defined as the point where the three medians of the triangle meet. It is also called the center of gravity of the triangle.
In the Triangle RST, point X is the centroid where the medians RW, TV and SU intersect.
One Special Property of the centroid is that it divides each median in the ratio 2:1. (with the larger part being the part from the altitude)
Given RW =27
[tex]RX=\frac{2}{3}RW\\ =\frac{2}{3}X27=18cm[/tex]
