2) 3)KM/MB=AM/CB ⇒KM=MB*AM/CB=9*10/17=90/17.
AM=√((AD)² +(DM)²) =10; BD =√((AB)²-(AD)²)=√((AB)²-(AC/2)²) =√(17² -8²) =15;
MB =BD -MD =15-6 =9 .
4) r =S/p =1/2*AC*BD /(AB + BC +AC)/2 =AD*BD / (AB +AD) =8*15/(17+8) = 4,5.
5) S(AKM)/S(CMB) =(AM/CB)² ;
S(AKM) =S(CMB) *(AM/CB)² ;
S(AKM)=S(CMB)*(10/17)² ;определим площадь Δ CMB
S(CMB)/S(BCD) =MD/MB
S(CMB)=S(BCD)*9/15 =60*3/5 =36.
S(AKM) =36*100/289 =3600/289 .
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