Question

In △RST, RW=27 cm .

What is the length of RX¯¯¯¯¯¯?

Enter your answer in the box.

____ cm.

Answer 1

The correct answer is
18 CM
because RX = 2/3(27) = 18
(Enter 18 in the box)

Answer 2

18cm

Explanation:

A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

A centroid of a triangle is defined as the point where the three medians of the triangle meet. It is also called the center of gravity of the triangle.

In the Triangle RST, point X is the centroid where the medians RW, TV and SU intersect.

One Special Property of the centroid is that it divides each median in the ratio 2:1. (with the larger part being the part from the altitude)

Given RW =27

`RX=(2)/(3)RW\\ =(2)/(3)X27=18cm`