Question

(20 points!) In triangle RSW, line segment RW is a median and is equal to 27 cm. What is the length of RX?

A. 13.5 cm
B. 27 cm
C. 9 cm
D. 18 cm

Answer 1

the answer is D. I can vouch

Answer 2

Option D. 18 cm

Explanation:

we know that

A centroid of a triangle is the point where the three medians of the triangle meet.

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

The centroid divides each median in a ratio of 2:1

In this problem the centroid of triangle RST is the point X

so

`(RX)/(XW)=(2)/(1)`

`RX=2XW` -----> equation A

`RX+XW=27` -----> equation B

substitute equation A in equation B

`2XW+XW=27`

Solve for XW

`3XW=27`

`XW=9\ cm`

Find the value of RX

`RX=2XW` -----
`RX=2(9)=18\ cm`