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2 years ago

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

Mathematics

1 answer:

Anettt [7]2 years ago

3 0

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

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