Answer:
TZ = 10 units
UY = 12 units
ZW = 11 units
Step-by-step explanation:
Point Z is the centroid of ΔTUV.
Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1
Therefore, TZ = 2(ZX)
TZ = 2(5) = 10 units
UY = UZ + ZY
= UZ + [tex]\frac{1}{2}(UZ)[/tex]
= [tex]\frac{3}{2}UZ[/tex]
= [tex]\frac{3}{2}\times 8[/tex]
= 12 units
ZW = [tex]\frac{1}{3}(VW)[/tex]
= [tex]\frac{1}{3}(33)[/tex]
= 11 units
