Question

Calculati perimetrul unui triunghiul ABC stiind ca m(A)=90 tg(C)=0,5 si BC=20cm​

Answer 1

tgC = AB/AC

1/2 = AB/AC

AC = 2AB

Pitagora

BC² = AB² + AC²

400 = AB² + 4AB²

400 = 5AB²

AB² = 80

AB = 4√5 cm

AC = 2AB = 8√5 cm

P = AB + BC + AC = 4√5 + 20 + 8√5 = 20 + 12√5 = 4·(5 + 3√5) cm