Trianlge ABC has AB=33, AC=88, BC=77. Point D lies on BC with BD=21. Compute angle BAD.

George Morales 2022-10-13 Answered
Angle bisector theorem for computing an angle
Trianlge ABC has A B = 33 , A C = 88 , B C = 77.. Point D lies on BC with B D = 21.. Compute B A D ..
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Answers (1)

Teagan Zamora
Answered 2022-10-14 Author has 18 answers
Step 1
Its simple arithmetic:
77 2 = 33 2 + 88 2 2 ( 33 ) ( 88 ) c o s ( B A C ).
Here you can see every term has a factor of 11 2 .
( 11 2 ) 7 2 = 3 2 ( 11 ) 2 + 8 2 ( 11 ) 2 ( 11 2 ) 2 ( 3 ) ( 8 ) c o s ( B A C )
Step 2
You can cancel out this factor by dividing by 11 2 on both sides.
7 2 = 3 2 + 8 2 2 ( 3 ) ( 8 ) c o s ( B A C )
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