Răspuns:
Explicație pas cu pas:
a) Teorema fundamentala a asemanarii
DE/AC=BE/BC=BD/AB=3/4
BE=BC×3/4=8x3/4=6 cm
BD=AB×3/4=10×3/4=7,5 cm
AD=AB-BD=10-7,5=2,5 cm
b)DE/AC=BE/BC=BD/AB=3/4
BD=AB-AD=16-4=12cm
BD/AB=12/16=3/4
BE=BC×3/4=24×3/4=6×3=18 cm
DE=AC×3/4=12×3/4=3×3=9 cm
c) DE/AC=BE/BC=BD/AB=1/2
DE/AC=6/12=1/2
BD/AB=1/2 AB=2BD=2x4=8cm
BE/BC=1/2 BC=2BE=2×3=6 cm
AD=AB-BD=8-4=4 cm