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amuguescaet3jf

amuguescaet3jf

Answered question

2022-06-03

In A B C, B E and C F are the angular bisectors of B and C meeting at I. Prove that A F F I = A C C I .
By the angle bisector theorem we have A C A E = C B B E and A B A F = B C F C . How do I proceed after this? Hints would be appreciated.

Answer & Explanation

bojnimaspnek

bojnimaspnek

Beginner2022-06-04Added 4 answers

A I is an angle bisector of A, so by the angle bisector theorem, A F A C = F I I C . This easily rearranges to the required result.

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