Question

In triunghiul dreptunghic in B abc se cunosc AB=3 radical din 5
BC = 3
AC =3radical din 6
Daca BD _|_ AC calculati BD AD AC

Answer 1

BC²=DCxAC (Teorema catetei)
9=DCx3√6
DC=3/√6=√6/2
AB²=ADxAC (Teorema catetei)
45=ADx3√6
AD=15/√6=5√6/2
BD²=ADxDC (Teorema inaltimii)
BD²=5√6/2x√6/2=15/2
BD=√(15/2)