Answer:
[tex]EH=12\ units[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem
ABCD and EFGH are similar
so
CD is proportional to GH
AD is proportional to EH
[tex]\frac{CD}{GH}=\frac{AD}{EH}[/tex]
substitute the given values and solve for EH
[tex]\frac{2}{3}=\frac{8}{EH}[/tex]
[tex]EH=3*8/2=12\ units[/tex]
