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

 Feb 7, 2021
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Δ ABS is an isosceles triangle.

 

∠B = 2 [arctan(3 / 4)] = 73.73979529º

 

AD = tanB * BD = 13.71428571

 

Area = AD * BD = 54.85714286 u2

 Feb 7, 2021

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