Question

In triungiul abc cu masura unghiului a de 90 de grade , construim inaltimea AD , D apartine BC . Daca AB = 6 cm si BD = 2 cm , alfati AD,BC,AC

Answer 1

AB²=BC*BD
BC=AB²/BD
BC=6²/2
BC=18cm

DC=BC-BD
DC=18-2
DC=16cm

AC²=BC*CD
AC²=18*16
AC²=288
AC=√288
AC=12√2cm

AD²=BD*DC
AD²=2*16
AD²=32
AD=√32
AD=4√2cm

R/s AD=4√2cm BC=18cm AC=12√2cm