菱形ABCD,AC垂直平分BD
Sabcd=Sabc+Sacd
=AC*BO/2+AC*DO/2
=AC*BD/2
=16*12/2
=96
AO=AB/2=8
CO=BD/2=6
AC=√(8^2+6^2)
=10
Sabcd=AC*h
h=Sabcd/AC=96/10=9.6