Răspuns:
Explicație pas cu pas:
BD/CD=9/16 ; ⇒BD=9k ; CD=16k
⇒BC=9k+16k =25k
AB²=BD*BC=9k+16k=225k²
AB=√225k² =15k
AC²=CD*BC=16k+25k =400k²
AC=√400k²=20k
P=AB+AC+BC=15k+20k+25k=60k
180 =60k
k=180/60 =3⇒
BC=25k=25*3 =75 cm
AB =15*3 =45 cm
AC=20*3 =60 cm
b) BD=9k=9*3 =27 cm
CD=16k=16*3=48cm
AD²=BD*CD=27*48=1296
AD=√1296=36cm
Aabc =BC*AD/2 =75*36/2 =1350 cm²
