Figure STUV and figure WXYZ, shown below, are similar figures.
The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 78 mm and SV = 102 mm, what is the length of side WZ?
First, we need to find the length of side WX in figure WXYZ.
Since the scale factor of STUV to WXYZ is 3:1, we can find the length of WX by dividing SV by 3:
SV = 102 mm
WX = SV/3 = 102 mm / 3 = 34 mm
Now, we can find the length of side WZ by using the scale factor:
WX:WZ = 3:1
34 mm : WZ = 3 : 1
Cross multiply:
34 mm * 1 = WZ * 3
WZ = 34 mm * 1 / 3 = 34 mm / 3 = 11.33 mm
Therefore, the length of side WZ is 11.33 mm.