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Aflati perimetrul triunghiului ABC, stiind ca AB=6, B=[tex] \frac{\pi}{4} [/tex] , C= [tex]\frac{\pi}{6} [/tex] .

Răspuns :

B=[tex] \pi /4[/tex] = 45° C=[tex] \pi /6[/tex] = 30° sinB=AD/AB (√2)/2=AD/6 ⇒ AD=3√2 AD=AC/2 ⇒ AC=6√2 BC/sinA = AB/sinC ⇒ BC=3(√6+√2) P=6+6√2+3(√6+√2) P=6+9√2+3√6