a: BD/CD=AB/AC=3/4
=>\(\dfrac{S_{ABD}}{S_{ACD}}=\dfrac{3}{4}\)
b: \(BC=\sqrt{12^2+16^2}=20\left(cm\right)\)
c: BD/CD=3/4
BD+CD=20
=>BD=60/7cm; CD=80/7cm
d: AH=12*16/20=192/20=9,6cm
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