Question

Fie punctele A B C D coliniare in aceasta ordine astfel incat 2AC=AB+AD si BC =1,6 cm aflati lungimile segmentului [CD] si [BD]

Answer 1

AC=AB+BC
2AC=2AB+2BC   si 2AC=AB+AD ⇒  2AB+2BC=AB+AD
⇒ AB+2BC=AD si AD=AB+BC+CD
⇒ AB+2BC=AB+BC+CD ⇒BC=CD = 1,6 cm
BD=BC+CD=1,6cm+1,6cm= 3,2 cm ⇒ BD= 3,2cm