Solution: S is centroid of triangle XYZ.
As centroid is point of intersection of medians. and centroid divides the median in the ratio of 2:1.
[tex]\frac{SZ}{ST}= \frac{2}{1} \\\frac{4m+8}{3m-1}=2[/tex]
→ 4 m +8= 2( 3 m -1)
→ 4 m + 8 = 6 m - 2
→ 6 m - 4 m= 8 +2
→ 2 m=10
→ m= 10 ÷2= 5 units
SX = 2×5 +12=10+12=22 units
[tex]\frac{SX}{SW}= \frac{2}{1} \\\frac{22}{SW}=2[/tex]
→ 2 SW = 22
→ SW=22÷2=11 units
Option (3) is true.
