Объяснение:
по теореме косинусов:
ВD=√(AD²+AB²-2×AD×AB×cosDAB)=
=√(6²+(8√3)²-2×6×8√3×cos30)=
=√(36+192-96√3×√3/2)=√84=2√21
∠ADC=180-∠DAB=180-30=150°
СD=AB=8√3
AC=√(AD²+CD²-2×AD×CD×cos∠ADC)=
=√(6²+(8√3)²-2×6×8√3×cos150)=
=√(36+192-96√3×(-√3/2))=
=√372=2√93
ответ: ВD=2√21 ; AC=2√93
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Объяснение:
по теореме косинусов:
ВD=√(AD²+AB²-2×AD×AB×cosDAB)=
=√(6²+(8√3)²-2×6×8√3×cos30)=
=√(36+192-96√3×√3/2)=√84=2√21
∠ADC=180-∠DAB=180-30=150°
СD=AB=8√3
AC=√(AD²+CD²-2×AD×CD×cos∠ADC)=
=√(6²+(8√3)²-2×6×8√3×cos150)=
=√(36+192-96√3×(-√3/2))=
=√372=2√93
ответ: ВD=2√21 ; AC=2√93