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In triangle ABC, let angle bisectors BD and CE intersect at I. The line through I parallel to BC intersects AB and AC at M and N, respectively. If AB = 17, AC = 24, and BC = 33, then find the perimeter of triangle AMN.

 Mar 10, 2021
 #1
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The perimeter of triangle AMN works out to 45.

 Mar 10, 2021
 #2
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Sorry thats wrong

Jamesaiden  Mar 11, 2021
 #3
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The answer is 41, and the proof is ridiculously easy when you see it. No cosine rule or trig ratios needed.

 Mar 11, 2021
 #4
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Thanks! Thats correct

Jamesaiden  Mar 11, 2021

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