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13 tháng 10 2022
a: \(AB=\sqrt{3\cdot15}=3\sqrt{5}\left(cm\right)\)
\(AC=\sqrt{12\cdot15}=6\sqrt{5}\left(cm\right)\)
b: \(\dfrac{HF}{HE}=\dfrac{AE}{AF}=\dfrac{AH^2}{AB}:\dfrac{AH^2}{AC}=\dfrac{AC}{AB}=2\)
=>HF=2HE
22 tháng 7 2023
a: AB/AC=2/3
=>HB/HC=4/9
=>HB/4=HC/9=(HB+HC)/(4+9)=2*căn 13/13
=>HB=8/13*căn 13; HC=18/13*căn 13(cm)
\(AH=\sqrt{HB\cdot HC}=\dfrac{12\sqrt{13}}{13}\left(cm\right)\)
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