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Can I have help?

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In triangle $$ABC,$$angle bisectors $$\overline{AD},\overline{BE},$$ and $$\overline{CF}$$ meet at $$I.$$ If $$DI=3,$$ $$BD=4,$$ and $$BI=5$$, then compute the area of triangle $$ABC.$$

I know that there are 2 more threads about this problem, but both these threads use Trignometry, and I want to use the Angle Bisector Theorem(I'm not trying to be picky, I just don't know Trig, yet!)

Apr 15, 2021

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https://web2.0calc.com/questions/pls-help_10037