Ntriangle nql, point s is the centroid, ns = (x + 10) feet, and sr = (x + 3) feet. what is rs? 4 feet 7 feet 10 feet 14 feet

Answer : 7 feet

In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.

the diagram is attached below

Centroid divides the angle bisector into parts

NS = 2/3 of NR  and SR = 1/3 of NR

So NS is 2 times of SR

NS = 2 SR

NS = (x + 10) feet, and SR = (x + 3) feet.

(x+10) =2 (x+3)

x + 10 = 2x + 6 ( subtract 2x  and 10 on both sides)

-x = -4

So x=4

SR = x + 3 = 4 + 3 =  7

SR = 7 feet

The answer is B. on edgen.

Step-by-step explanation:

B. 7 feet