Ducem DE perpendicular pe AB In Δ ADE , dreptumghic in E : <A = 60 gr <E = 90 gr ⇒<D= 30 gr cf.teoremei unghiului de 30 gr: AE= AD/2 = 6/2 = 3 ⇒ EB = AB-3=10-3=7
DE² = AD²-AE² DE² = 6² -3² DE² = 27 DE = 3√3
In Δ DEB, dreptunghic in E: BD² = DE² +EB² BD² = (3√3)²+7² BD² = 27+49 BD² = 76 BD = 2√19