Răspuns:
Explicație pas cu pas:
ΔABC - ∡BAC=90°
AB=6cm
- ∡ACB=30°→ conform teoremei ∡ de 30°→BC=6x2=12cm BC=12
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BC=12cm
AB=6cm
AC²= 12²-6²
AC²=144-36
AC=√108
AC=6√3
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P ABC= 6√3+12+6
P ABC= 6√3+18
P ABC= 6(√3+3)
-
A ABC=( C₁*C₂)/2
A ABC= ( 6*6√3)/2
A ABC= 36√3/2
AABC= 18√3 cm²