Răspuns:
Explicație pas cu pas:
ΔABD≈ΔADC cateta, unghi
AD comuna
∡ABD=∡DAC ∡BAD=ACD
AB/AC=AD/DE=BD/AD
Aabd=AD·BD/2
Aacd=AD·DC/2 ⇒Aabd/Aacd=BD/DC
a)AB=4√2 cm AC=3√3 cm
BC²=AB²+AC²=32+27=59 BC=√59 cm
Teorema catetei
AB²=BD·BC BD=AB²/BC
AC²=DC·BC DC=AC²/BC
Aabd/Aacd=BD/DC=AB²/BC:AC²/BC =AB²/AC²=32/27
b)Aabd/Aacd=AB²/AC²=24/45=8/15
