Question

In triangle 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 1

its B on edge, 7

Explanation

took the test

Answer 2

Where R is the median between Q and L:

From my understanding of a triangle's centroid, it divides an angle bisector into parts of 2/3 and 1/3. In the given problem, these divisions are NS and SR. Therefore, twice SR would be equal to NS. From here, we can get the value of X, to solve for SR.

NS = 2SR
(x + 10) = 2(x + 3)
x + 10 = 2x + 6
x = 4

Therefore, SR = (x + 3) = 7