Question

Se considera triunghiul MNP cu MP=6 sin N=3/5 si sin P=4/5. Calculati lungimea laturii MN.

Answer 1

Notez MP=n ; MN=p ; NP=m.

Aplic teorema sinusului:
$\frac{m}{sinM}= \frac{n}{sinN}= \frac{p}{sinP} \\ \frac{n}{sinN}= \frac{p}{sinP}=> p= \frac{n*sinP}{sinN}= \frac{6* \frac{4}{5} }{ \frac{3}{5} }= \frac{24}{5}* \frac{5}{3}=8(cm).$

MN=8 cm.