1. ΔABD=ΔDBC (т.к. ∠ABD=∠BCA, ∠BAD=∠DAC, AD - общая)
2. ΔABD=ΔBDC (т.к. ∠BDC=∠BDA, ∠BAD=∠BCD, BD - общая)
3. ΔBAE=ΔCDE (т.к. ∠ABE=∠ECD, AE=ED, ∠BEA=∠CED)
4. AB=8 (т.к. ∠BAC=30°⇒2BC=AB)
5. ∠A=180°-90°-60°=30°⇒BC=5
6. ∠A=180°-90°-45°=45°⇒BC=CA=6
7. ∠CAD=∠ACD⇒CD=AD; ∠DCB=∠DBC⇒CD=DB⇒AB=16
8. ∠AEB=180°-60°=120°⇒∠ABE=180°-30°-120°=30°⇒∠ABE=∠AEB⇒BE=AE=14