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

 Jan 5, 2021
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Triangle ABC is an isosceles triangle with the base of 8 units.

 

angle (B) = 2(arctan3/4)

 

angle (A/2) = 90 - angle (B)

 

height AD = BD / tan(A/2)

 

area = BD * AD = 54.85714289 units squared

 Jan 5, 2021

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