1) <ACB = 180° -(<ABC +<BAC) =80° -2<ABC = 180° -30° =150° >90°.Высота на продолжения BCAH =AC/2 =5 (<ACH =180 - <ACB = 180° -150°=30° ).2) CH =√(BC² - BH²) =√(15² -12²) =9 ;CH ² =AH *BH⇒AH = CH²/BH =81/12 =27/4 .или BC² =AB*BH;15² =(12+AH)*12⇒AH = 15²/12 -12 =81/12 =27/4.3) CH = AC*cos(180° - <ACB) =4*( -cos<ACB) =4*0,8 =3,2.4) AH= √(AC² -CH²) =√(27² -21,6²) =16,2.***√(27 -21,6)(27+21,6) =√5,4*48,6 =√9*0,6*0,6*81=3*9*0,6 =16,2***AC² =AB*AH =AH(AH +HB) ;27² =16,2(16,2+HB) ⇒HB = 27²/16,2 -16,2² =28,8.AB = AH +HB =16,2+28,8 =45.BC = √(AB² -AC)² =√(45² -27²) =√(45 -27)(45 +27) =√(18*72) =√(9*2*2*36) =3*2*6 =36.BC =36.