Răspuns:
Explicație pas cu pas:
teorema inaltimii
AD²=DC×BD
AD²=8×10=16×5 AD=4√5 cm
BC=BD+DC=8+10=18 cm
Aabc=AD×BC/2=4√5×18/2=36√5 cm²
AM=BC/2=9 cm
DM=DC=MC=10-8=2 cm
Padm=AD+AM+DM=4√5+9+2=11+4√5 cm
cos∡ACB=DC/AC
AC²=DC×BC AC²=10×18=2³×3×2×5 AC=4√15 cm
cos∡ACB=10/4√15=10√15/4×15=√15/6
tg∡AMD=AD/DM=4√5/2=2√5
