Respuesta :
Answer:
- Segment BF = 18
Step-by-step explanation:
We have triangle ABC with:
- Point D is on side AB
- Point E is on side AC
- Point F is on side BC
- AD = 16, AE = 24, EC = 36, FC = 27
Proportions would be:
- BD/AD = EC/AE ⇒ BD = AD*AC/AE ⇒ BD = 16*36/24 = 24
- BF/FC = AE/EC ⇒ BF = FC*AE/EC ⇒ BF = 27*24/36 = 18
Correct choice is D