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I found that the base of triangle ABC is equal to 8 and that AB=AC because triangle ABD and triangle ACD are congruent, but I am confused about how to continue. Thanks for the help!

 Mar 11, 2021
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Triangle ABC is an isosceles triangle with a base equal to 8 units.

 

BD = CD = 4         DI = 3

 

∠B = 2(tan-1(3/4)) ≈ 73.74º

 

AD = tan(∠B) * BD = 13.7142857

 

[ABC] = BD * AD ≈ 54.857 square units 

 Mar 11, 2021

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