1.

D, E and F are the points on sides BC, CA and AB respectively of Δ ABC such that AD bisects ∠A, BE bisects ∠B and CF bisects ∠C . If AB = 5 cm, BC = 8 cm and CA = 4 cm, determine AF, CE and BD.

Answer»

in⊿ ABC 

CF bisects ∠A 

∴ AF/FB=AE/AC 

AF/5-AF=4/8 

2AF=5-AF 

2AF+AF=5 

3AF=5 

AF=5/3 cm 

⊿ABC, BE bisects ∠B 

∴ AE/AC=AB/BC 

4-CE/CE=5/8 

5CE=32-8CE 

5CE+8CE=32 

13CE=32 

CE=32/13 cm 

Similarly 

BD/DC=AB/AC 

BD/8-BD=5/4 

4BD=40-5BD 

4BD+5BD=40 

9BD=40 

BD=40/9 cm



Discussion

No Comment Found

Related InterviewSolutions