Question

In triunghiul dreptunghic ABC , m (BAC) = 90 de grade , AB 6 radical din 3 si BC = 12 cm . a)Aria ,B) m(ABC)

Answer 1

AB-cateta,  BC-ipotenuza,   AC-cateta 
folosim Teorema lui Pitagora
BC²=AB²+AC²
AC²=BC²-AB²
AC²=12²-(6√3)²=144-108=36
AC=√36=6cm
AC=6cm
Aria=(c₁xc₂)/2=(ABxAC)/2
Aria=(6√3x6)/2=18√3cm

Answer 2

AΔ=AB*AC/2
AC=√BC^2-AB^2=√(144-108=√36=6
AΔ=6√3*6/2=18√2
B) sin(ABC)=AC/BC=6/12=1/2
         m(<ABC)=30 grade