Răspuns:
Explicație pas cu pas:
Teorema inaltimii
AD²=BD×DC 36×3=6×DC DC=6×3=18 cm
BC=BD+DC=6+18=24 cm
Teorema catetei
AB²=BD×BC AB²=6×24=6×6×4 AB=6×2=12cm
AC²=DC×BC AC²=18×24=3²×2×2³×3 ⇒AC=12√3cm
sin ∡B=AC/BC=12√3/24=√3/2 ⇒∡B=60°
sin ∡C=AB/BC=12/24=1/2 ⇒∡C=30°
