ΔABC=ΔMNP
=>AB=MN; BC=NP; AC=MP=24cm
4AB=3BC nên 4MN=3NP
=>\(MN=\dfrac{3}{4}NP\)
\(2NP-MP=16\)
=>\(2NP-\dfrac{3}{4}NP=16\)
=>\(\dfrac{5}{4}NP=16\)
=>\(NP=16:\dfrac{5}{4}=16\cdot\dfrac{4}{5}=12,8\left(cm\right)\)
\(MN=\dfrac{3}{4}\cdot NP=\dfrac{3}{4}\cdot12,8=9,6\left(cm\right)\)
MN=AB
mà MN=9,6cm
nên AB=9,6cm
BC=NP
mà NP=12,8cm
nên BC=12,8cm