c1/c2=8/15=>15c1=8c2=k=>c1=k/15;c2=k/8;i=sqrt(k^2/225+k^2/64);
P=i+c1+c2=k/15+k/8+sqrt(k^2/225+k^2/64)=160cm.;
23k/120+sqrt(289k^2/14400)=160;
23k/120+17k/120=160;
40k/120=160;
k=160•120/40=480;
c1=32cm;
c2=60cm;
i=68cm;
Notam AD inaltime,BC -ipotenuza ;AB =c1;AC=c2.Scriem teorema catetei:AB^2=BC•BD=>BD=AB^2/BC;AC^2=BC•DC=>DC=AC^2/BC;Scriem teorema inaltimii:AD^2=BD•DC=AB^2/BC•AC^2/BC=(AB^2•AC^2)/BC^2=>AD=(AB•AC)/BC=28,23cm
