Trong tam giác vuông ABC:
\(sinB=\dfrac{AC}{BC}\Rightarrow AC=BC.sinB=5.sin32^0\)
\(cosB=\dfrac{AB}{BC}\Rightarrow AB=BC.cosB=5.cos32^0\)
Chu vi ABC:
\(AB+AC+BC=5.sin32^0+5.cos32^0+5\approx11,89\left(cm\right)\)
Trong tam giác vuông ACD:
\(sinA=\dfrac{CD}{AC}\Rightarrow CD=AC.sinA=5.sin32^0.sin33^0\)
\(cosA=\dfrac{AD}{AC}\Rightarrow AD=AC.cosA=5.sin32^0.cos33^0\)
Chu vi ACD:
\(AC+AD+CD=5.sin32^0+5.sin32^0.sin33^0+5.sin32^0.cos33^0\approx6,31\left(cm\right)\)