Răspuns:
a) AC = radical BC^2-AB^2=radical100-36=radical64=8 cm
b) AD*BC/2=AB*AC/2 (formula ariei) rezulta AD =AB*AC/BC = 6*8/10=48/10=24/5 cm
c) MD = radical AM^2+AD^2=radical16+576/25=radical 976/25=2radical61/5
d) AP= AM*AD/MD = 4*24/5/2radical61/5 = 48radical61/61
e) sin MCA = AM/MC
MC = radical MD^2+DC^2
DC = radical AC^2-AD^2= radical 64-576/25 radical 1024/25 = 32/5
MC - radical 4*61/25+1024/25=radical2000/25=radical80=4 radical5
sin MCA = 4/4radical5=radical5/5
Explicație pas cu pas:
