Răspuns:
P(∆ABC)=12+4√3 cm
A(∆ACB)=8√3cm²
AH=2√3 cm
Explicație pas cu pas:
sin<C=AB/BC
sin30°=1/2
1/2=AB/BC
BC=2*AB=2*4=8 cm
cos<C=AC/BC
cos30°=√3/2
√3/2=AC/8
AC=8√3/2=4√3 cm
P(∆ABC)=AB+BC+AC=4+4√3+8 =12+4√3 cm
A(∆ABC)=1/2*AB*AC=1/2*4*4√3=8√3 cm²
A(∆ABC)=1/2*AH*BC →
AH=2*A(∆ABC)/BC=2*8√3/8=2√3 cm
