Answer:
SP = 2 and PW = 1.
Step-by-step explanation:
We know that the centroid divides the medians in a 2 : 1 ratio.
Now, in Δ STU, P is the centroid and SW is a median.
So, point P will lie on median SW and will divide the median SW in a 2 : 1 ratio i.e. SP : PW = 2 : 1.
If the length of the median SW is 3 then SP = [tex]\frac{3 \times 2}{(1 + 2)} =2[/tex]
And similarly PW = [tex]\frac{3 \times 1}{(1 + 2)} =1[/tex] (Answer)
