Question

Aflati perimetrul triunghiului ABC, stiind ca AB=6, B=$\frac{\pi}{4}$ , C= $\frac{\pi}{6}$ .

Answer 1

B=$\pi /4$ = 45° C=$\pi /6$ = 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