Question 3 (a) In the given triangle ABC below, AB = 5, BC = 6, and AC = 7. AD is an angle bisector and BE is a median.

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Question 3 A In The Given Triangle Abc Below Ab 5 Bc 6 And Ac 7 Ad Is An Angle Bisector And Be Is A Median 1 (76.52 KiB) Viewed 56 times

Question 3 (a) In the given triangle ABC below, AB = 5, BC = 6, and AC = 7. AD is an angle bisector and BE is a median. Find the length of AF. F E B (b) Given the figure below with 3BF = 2FC, AE = 2EF, and (DEF) = 1. Let (DFC) = y and (BEF)=x. Determine (DFC). (c) For any triangle ABC, given BC = AC cos C + AB cos B. Using the Law of Sines, prove the "addition formula” sin(B+C) = sin Bcos C+sin Ccos B. [30 marks ]