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In triangle ABC, angle bisectors AD,CF and BE meet at I. If DI=3, BD=3, and BI=6, then compute the area of triangle ABC.

 Mar 31, 2022
 #1
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This is impossible

 

Look  at triangle   BDI

 

BD =  3    DI  =  3      and  BI   = 6

 

By the triangle inequality theorem,  BD + DI   must be greater than BI

 

But

 

BD + DI  =  BI

 

So......this inner triangle cannot exist

 

cool cool cool

 Mar 31, 2022
 #2
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It can, calculus

Guest Mar 31, 2022

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