The length of UT is 12
Generally, the property of the centroid is that it is at a point that splits the length of the median into a ratio of 1 to 2
What this mean in this case is that if we look at the centroid U, it splits PT into PU and UT which are in the ratio of 2 to 1
Hence, from the above, we can deduce that UT is exactly half of PU
Thus;
[tex]\begin{gathered} UT\text{ = }\frac{1}{2}\times PU \\ \\ UT\text{ = }\frac{1}{2}\times24 \\ \\ UT\text{ = 12} \end{gathered}[/tex]
