Question

Calculati AD:
Se da :ΔABC
BD=8 cm
DC=5 intreg 1 pe 3
DAU MULTEE PUNCTE
ESTE TEOREMA INALTIMII

Answer 1

ΔABC- triunghi dreptughic
BD si DC- proiectii.
BD= 8 cm
DC=$5\frac{1}{3} = \frac{16}{3}$
AD-inaltime
AD=?
AD²=BD*CD
AD²= 8*$\frac{16}{3}$
AD²=$\frac{128}{3}$=>AD=$\sqrt{ \frac{128}{3} } \ \textless \ =\ \textgreater \ \frac{ \sqrt{128} }{ \sqrt{3} } = \frac{8 \sqrt{2} }{ \sqrt{3} } rationalizam : \frac{8 \sqrt{6} }{3}$