4) < C=90° ;AE =AB ; BD= BC.-----------------------------<CED +<CDE --> ?<CED +<CDE = <A/2 +<B/2 = (<A+<B)/2 =90°/2 =45° <A=<CEA+ <EAC ( внешний угол равнобедренного треугольника CEA)ж<CED =<CEA =<A/2аналогично : <CDE = <B/2<CED +<CDE = <A/2 +<B/2 = (<A+<B)/2 =90°/2 =45° .****************************5) < C=90° ; AB =c ; sinA+sinB =q .-----------------------------------------------------S(ABC) ---> ?S(ABC) = AC*BC/2 = (c*cosA*c*sinA)/2 =c²sin2A/4 ; * * * sinA*cosA =(sin2A)/2 * * *sinA+sinB =q sinA + cosA =q ; sin²A +2sinA*cosA +cos²A =q²;1+sin2A =q²⇒sin2A = q² -1 ;S(ABC) =c²(q² -1)/4 .