SOLUTION: Triangle ABC is similar to triangle XYZ.The length AB is 10.The length BC is 16.Find the length XY if the length YZ is 12.

Algebra ->  Triangles -> SOLUTION: Triangle ABC is similar to triangle XYZ.The length AB is 10.The length BC is 16.Find the length XY if the length YZ is 12.       Log On


   



Question 686190: Triangle ABC is similar to triangle XYZ.The length AB is 10.The length BC is 16.Find the length XY if the length YZ is 12.
Answer by randyjoseph7(13) About Me  (Show Source):
You can put this solution on YOUR website!
7.5
since AB is 10 that makes XY= x
and you know BC=16 and YZ=12
if you draw out triangles, youll find that AB is to XY as BC is to YZ
simply cross multiply

16:12 as 10:x
set up a fraction
16/12 and 10/x
cross multiply

12x10=120
120/16=7.5
x=7.5