Question

Find VW.   VZ=52 and WZ = 20

Answer 1

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

$XZ=XY+YZ=2XY$

$XY=\dfrac{1}{2}XZ=\dfrac{1}{2}(20)=10$

Then

$$WX=XY=YZ=10$$

$$WZ=WX+XY+YZ=3(10)=30$$

$$VW=VZ-WZ=52-30=22$$

$VW=22$