Given Triangle PQR pictured below.If PY, RX, and QZ are the medians and CX is 12.3 cm, what is the length of RX? RX = _______ cm

1. Break Down the Problem

We need to find the length of median RX in triangle PQR. We know CX, which is a part of the median from vertex Q to side PR (assuming C is the midpoint of PR).

2. Relevant Concepts

The medians of a triangle intersect at a point called the centroid, which divides each median in a ratio of 2:1. If CX is the segment from C to X, then RX (from R to the centroid X) will be twice the length of CX.

3. Analysis and Detail

Given:

• Length of CX = 12.3 cm

Since CX is part of the median RX, we can find RX as follows:

$RX = 2 \times CX$

4. Verify and Summarize

Calculating RX gives:

$RX = 2 \times 12.3 \, \text{cm} = 24.6 \, \text{cm}$

Final Answer

RX = 24.6 cm