Answer to Question #130861 in Geometry for Bony Rodsr

Question

In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.



WX =

VW =

WY =

VX =

WZ =

VY =

Answer 1

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

Answer:WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42.