

InterviewSolution
Saved Bookmarks
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 |
|