Question

Rezolvati triunghiul abc dreptunghic in A (unghi) stiind ca Ab=24 cm si cos C = 35 supra 37

Answer 1

Avem formula:
sin²C+cos²C=1
sin²C+1225/1369=1
sin²C=1-1225/1369
sin²C=1369-1225/1369
sin²C=144/1369⇒sinC=12/37
No bun stim ca sinC=12/37
                  dar sinC=AB/BC
Deci le vom egala si vom obtine:
24/BC=12/37
Deci BC=24*37/12
BC=74 cm
Aplicam teorema celui din poza mea si obtinem:
AC²=BC²-AB²
AC²=5476-576
AC²=4900⇒AC=70 cm