Question

The medians of TUV are TX, UY, and VW. They meet at a single point Z.

Answer 1

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 + $\frac{1}{2}(UZ)$

     = $\frac{3}{2}UZ$

     = $\frac{3}{2}\times 8$

     = 12 units

ZW = $\frac{1}{3}(VW)$

      = $\frac{1}{3}(33)$

      = 11 units