By the segment addition postulate,
and
.
(Substitute
)
(Substitute
)
If
, measures of the corresponding altitudes are proportional to the measures of
the corresponding.
Let the measure of EH is x.
\
(Write the proportion)
(Substitute
)
(Apply cross products property)
(Divide each side by 6)
(Simplify)
The measure of EH is
.