AM=MC =AC/2 =9√2 (M - середина AC)
△AMB, теорема синусов:
AM/sin(ABM) =2R₁
9√2/sin(ABM) =2*3√6 => sin(ABM)=√3/2 => ABM=60° (ABM<105°)
MBC=ABC-ABM =105°-60° =45°
△BMC:
MC/sin(MBC) =2R₂
9√2 :√2/2 =2R₂ => R₂=9 (см)
AM=MC =AC/2 =9√2 (M - середина AC)
△AMB, теорема синусов:
AM/sin(ABM) =2R₁
9√2/sin(ABM) =2*3√6 => sin(ABM)=√3/2 => ABM=60° (ABM<105°)
MBC=ABC-ABM =105°-60° =45°
△BMC:
MC/sin(MBC) =2R₂
9√2 :√2/2 =2R₂ => R₂=9 (см)