Question

daca m(<A)=90 m(<B)=30 si AB=4 radical 3 aflati cati metri are cateta AC​

Answer 1

Răspuns:

Explicație pas cu pas:

<C are 60°

sin C = AB/BC

BC = AB/sic C = 4√3/(√3/2) = 8 cm

AC^2 = BC^2 - AB^2 = 64 - 48 = 16

AC = 4 cm

Answer 2

$\it Not\breve am\ AC=x\\ \\ Din\ teorema\ unghiului\ de\ \ 30^o\ \Rightarrow BC=2x\\ \\ Th.\ Pitagora\ \Rightarrow BC^2-AC^2=AB^2 \Rightarrow (2x)^2-x^2=(4\sqrt3)^2 \Rightarrow\\ \\ \Rightarrow4x^2-x^2=16\cdot3 \Rightarrow 3x^2=16\cdot3|_{:3} \Rightarrow x^2=16=4^2 \Rightarrow \\ \\ \Rightarrow x=4 \Rightarrow AC=4\ cm$