In triangle TRS, TZ = (3x) inches and WZ = (2x – 3) inches.
What is WZ?
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Answer:
x = 6
WZ = 9 in
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 :)