Угол BAC=90-30=60°
sin30°=BK/BC
1/2=⁴√3/BC
BC=2*⁴√3
sin60°=BK/BA
√3/2=⁴√3/BA
BA=2*⁴√3/√3=2/⁴√3
BC*BA=BK*AC
AC=BC*BA/BK=4/⁴√3
AE=AC/2=2/⁴√3
tg60°=BK/AK
√3=⁴√3/AK
AK=⁴√3/√3=1/⁴√3
EK=AE-AK=1/⁴√3
Sbke=1/2*BK*EK=1/2*⁴√3*(1/⁴√3)=1/2
Ответ:1/2.
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Угол BAC=90-30=60°
sin30°=BK/BC
1/2=⁴√3/BC
BC=2*⁴√3
sin60°=BK/BA
√3/2=⁴√3/BA
BA=2*⁴√3/√3=2/⁴√3
BC*BA=BK*AC
AC=BC*BA/BK=4/⁴√3
AE=AC/2=2/⁴√3
tg60°=BK/AK
√3=⁴√3/AK
AK=⁴√3/√3=1/⁴√3
EK=AE-AK=1/⁴√3
Sbke=1/2*BK*EK=1/2*⁴√3*(1/⁴√3)=1/2
Ответ:1/2.