Question

Fie triunghiul ABC , m ( < A ) = 90° , AD_|_ BC . Daca BD =9 cm si BC = 25 cm , calculati: a) Lungimile segmentelor. CD , AB,AC,AD.

Answer 1

DC =BC-BD
DC =25-9 =16 cm

AD^2 =BD*DC
AD^2 =9*16
AD^2 =144
AD =12 cm

AB^2 =AD^2+BD^2
AB^2 =9^2+12^2
AB^2 =81+144 =225
AB =15 cm

AC^2 =DC^2+AD^2
AC^2 =16^2+12^2
AC^2 =256+144=400
AC =20 cm