SOLUTION: The sides of ABCD are proportional to the corresponding sides of EFGH if AD=5, DC=6, EH=6, find HG

Algebra ->  Triangles -> SOLUTION: The sides of ABCD are proportional to the corresponding sides of EFGH if AD=5, DC=6, EH=6, find HG      Log On


   

Question 1010576: The sides of ABCD are proportional to the corresponding sides of EFGH if AD=5, DC=6, EH=6, find HG
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sides of ABCD are proportional to the corresponding sides of EFGH if AD=5, DC=6, EH=6, find HG.
------------------------------------------------------------------- 
According to the condition,

abs%28HG%29%2Fabs%28EH%29 = abs%28DC%29%2Fabs%28AD%29, or

abs%28HG%29%2Fabs%286%29 = abs%286%29%2Fabs%285%29.

Hence, |HG| = %286%2A6%29%2F5 = 36%2F5 = 71%2F5 = 7.2 units of length.