9514 1404 393
Answer:
24.5 units
Explanation:
The relationship of interest here is that the centroid (intersection of medians) divides each median into parts in the ratio 1 : 2. That is, the long segment is twice the length of the short segment, and the short segment is 1/3 of the total length. Of course, the median meets the side of the triangle at the midpoint of the side.
The desired perimeter is ...
P = CF +FX + XC
P = (1/3)YF + (1/2)XZ +(2)CE
P = (1/3)(21) +(1/2)(15) +(2)(5) = 7 +7.5 +10
P = 24.5 . . . . units
The perimeter of ΔCFX is 24.5 units.