Răspuns:
Explicație pas cu pas:
ΔABC este dreptunghic isoscel
BD+DC=BC ⇒ 4BD=24 BD=6 cm
BE+EC=BC 3EC=24 EC=8 cm BE=16 cm
Ducem AM⊥BC AM=BC:2=12 cm
in ΔADM AD²=DM²+AM²
DM=BM-BD=12-6=6 cm AM=12 cm
AD²=36+144=180 AD=6√5 cm
in ΔAME
AE²=ME²+AM²
ME=MC-EC=12-8=4cm
AE²=144+16=160 AE=4√10 cm
DE=DM+ME=6+4=10 cm
Aade=AM×DE/2=12×10/2=60 cm²
P=4√10+6√5+10 cm
