Answer:
Option D. 18 cm
Step-by-step explanation:
we know that
A centroid of a triangle is the point where the three medians of the triangle meet.
A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
The centroid divides each median in a ratio of 2:1
In this problem the centroid of triangle RST is the point X
so
[tex]\frac{RX}{XW}=\frac{2}{1}[/tex]
[tex]RX=2XW[/tex] -----> equation A
[tex]RX+XW=27[/tex] -----> equation B
substitute equation A in equation B
[tex]2XW+XW=27[/tex]
Solve for XW
[tex]3XW=27[/tex]
[tex]XW=9\ cm[/tex]
Find the value of RX
[tex]RX=2XW[/tex] ----- [tex]RX=2(9)=18\ cm[/tex]
