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

Solution:

From the figure we know that

U is the midpoint of TR

V is the midpoint of TS

W is the midpoint of RS

It means that Z is the centroid of the triangle 

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

TZ = 2ZW

3x = 2 (2x - 3)

3x = 4x - 6

4x - 3x = 6

x = 6

It is given that

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore, WZ is 9 inches.

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

Summary:

In triangle TRS, TZ = (3x) inches and WZ = (2x – 3) inches. WZ is 9 inches.