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Triangle ABC is an isosceles right triangle with a right angle at A. Points D and E trisect side AC . What is the degree measure of angle \(BED\)?

 

 Feb 14, 2022
 #1
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Let AC  =  AB

 

tan (angle BEA) =  AB / EA  =  AB / [1/3) AB)   =   1/ (1/3)  = 3

 

arctan 3 ≈ 71.6°

 

Angle  BED ≈  180  - 71.6  ≈  108.4°

 

 

cool cool cool

 Feb 14, 2022

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