Răspuns:
Explicație pas cu pas:
sinb+sin c=7/5 AC/BC+AB/BC=7/5 5(AC+AB)=7BC AC+AB=70 cm
BC=50 cm AC²+AB²=BC² (AC+AB)²-2AC×AB=2500 4900-2AC×AB=2500 AC×AB=2400/2=1200
AC+AB=70 AC=70-AB
AC×AB=1200 (70-AB)×AB=1200 70AB-AB²=1200
notam AB=b b²-70b+1200=0 cu solutii b1=40 si b2=30
1. AB=40 cm AC=30 cm ⇒BC=50cm
AD (inaltime)=AB×AC/BC=40×30/50=24 cm
2. AB=30 cm AC=40 cm
AD=24 cm
BD=AB²/BC 1. BD=1600:50 =32 cm
2. BD=900:50=18 cm
