Angle bisector theorem for computing an angleTrianlge ABC has A B = 33 , A C = 88 , B C = 77.. Point D lies on BC with B D = 21.. Compute ∠ B A D ..

Question

Angle bisector theorem for computing an angleTrianlge ABC has   A  B  =  33  ,  A  C  =  88  ,  B  C  =  77.. Point D lies on BC with   B  D  =  21.. Compute   ∠  B  A  D  ..

Teagan Zamora · Accepted Answer

Step 1Its 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 2You 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  )

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

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