(BC)^2=(CD)^2+(BD)^2=(24)^2+(18)^2=576+324=900 => BC=30
Пусть AD=x
BD=SQRT(CD*AD)
24=sqrt(18x) => 576=18x => x=32 => AD=32
CA=CD+AD=18+32=50
(AB)^2=(CA)^2-(BC)^2=2500-900=1600 => AB=40
cos(A)=AB/AC = > cos(A)=40/50=4/5
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(BC)^2=(CD)^2+(BD)^2=(24)^2+(18)^2=576+324=900 => BC=30
Пусть AD=x
BD=SQRT(CD*AD)
24=sqrt(18x) => 576=18x => x=32 => AD=32
CA=CD+AD=18+32=50
(AB)^2=(CA)^2-(BC)^2=2500-900=1600 => AB=40
cos(A)=AB/AC = > cos(A)=40/50=4/5