Question

In triangle TRS, TZ = (3x) inches and WZ = (2x – 3) inches.

What is WZ?

Answer 1

Point Z is the centroid of a triangle TSR.
TZ = 2 ZW
2 ( 2 x - 3 ) = 3 x
4 x - 6 = 3 x
4 x - 3 x = 6
x = 6
WZ = 2 * 6 - 3 = 12 - 3 = 9
Answer:
WZ = 9

Answer 2

x = 6

WZ = 9 in

Step-by-step explanation:

We have:

U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that:

Z is the centroid of the given triangle

The centroid point divides any median in the triangle in the ratio 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Hope this helps :)