Answer: 36
Explanation
• Centroid Theorem of a Triangle,: states that the centroid of a triangle is at 2/3 of the distance from the vertex to the midpoint of the opposite side.
Meaning that:
[tex]PC=\frac{2}{3}PY[/tex]
As we know the measure of PC = 24, then we can solve for PY as follows:
[tex]\frac{2}{3}PY=PC[/tex][tex]\frac{3}{2}\cdot\frac{2}{3}PY=PC\cdot\frac{3}{2}[/tex][tex]PY=(24)\cdot\frac{3}{2}[/tex][tex]PY=36[/tex]
