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sa se calculeze perimetrul triunghiului ABC stiind ca AB=6 B=pi/4 si C=pi/6​

Răspuns :

Răspuns:

B=pi/4=180/4=45°

C=pi/6=180/6=30°

ducem ad perpendicular bc

triunghiul abd isoscel

ab^2=ad^2+bd^2

ad=bd=radical 36/2=radical18=radical 2

in triunghiul adc

sin c=sin 30°=1/2

ad/ac=1/2

3radical 2/ac=1/2

ac=radical 2

cos c=cos30°=radical 3/2

dc/ac=radical 3/2

dc/6radical 2=radical 3/2

dc=3radical 6

bc=3radical 2+3radical 6

P=6+6radical2+3radical2+3radical6=6+9radical2+3radical6=3(2+3radical2+radical6)