\(AH=\sqrt{AC^2-HC^2}=\sqrt{10^2-8^2}=6cm\)
\(HB=AH^2:HC=6^2:8=4,5cm\)
\(BC=HB+HC=4,5+8=12,5cm\)
\(AB=\sqrt{BC^2-AC^2}=\sqrt{12,5^2-10^2}=7,5cm\)
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