PLEASE HELP :')) Point R is a centroid of the triangle SQU. If VR = 18 cm, what is UV?

A) 12 cm
B) 36 cm
C) 27 cm
D) 54 cm

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, is of the distance from to , since the latter is the midpoint of the side opposite to . We know this because belongs to , so must be 's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

Substituting into the equation gives us:

Solving for , we get:

(Multiply both sides of the equation by to get rid of 's coefficient)

(Simplify)

(Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

d. all of the above

step-by-step explanation:

explanation:

step-by-step explanation: