Answer
About 7.9 in
Work Step by Step
apothem=.5s$\sqrt 3$
a=.5(6$\sqrt 3$)($\sqrt 3$)
a=9
h$^2$=l$^2$-a$^2$
h$^2$=144-81
h$^2$=63
h=$\sqrt 63$
h$\approx$7.9
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