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!

answer: true

step-by-step explanation:

ian gonna lie that is way to much