Răspuns:
BD=9 cm
CD=16 cm
AD=12 cm
BC=25 cm
Explicație pas cu pas:
1. BD:
ip² = c1²+c2²
BC²=AB²+ AC²
BC²=15²+ 20²
BC²=225+400
BC²=625
BC=25 cm
2. BD
CTC: AB²= BD×BC
15²= BD×25
225= BD×25
BD=225÷25
BD=9 cm
3. DC= BC – BD
DC= 25 – 9
DC= 16 cm
4. tr. ABC-dr , m(<BAC)= 90°
=> CTÎ : AD²= BD×DC
AD²= 9×16
AD²= 144
AD= 12 cm