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The Rules of
    Sine
A


            b
c



B       a       C
How about for
scalene triangle ?
C


                            Height line is the line from an angle of triangle
    b               a         that is perpendicular with opposite side.
                h



A       c   D           B
C                 Look at the triangle beside!
                          By the same way, we get :
                a
    b



A       D   c       B
                          So, we get :




It is called by the rule of sine.
This rules can be used for cases :
• Two angles and any one side length are given
• Two sides and an angle of opposite side are given
Example
Determine the size of angle and the length of sides that are not
given from the triangle below :
              B

                      5 cm



        A                     C
Answer
Activities Class
1. Determine the undetermined elements from triangle of KLM :
                      M




                  K            25 cm       L
   Given : the angle of K is 400 and the angle of L is 550.

2. Desi and Vita are standing on the edge of a river and are separated as
   far as 40 m. across the river, Ardi is seen to be standing and looking at
   both the girls. If the angle formed by Ardi-Desi-Vita is 650 and the angle
   formed by Ardi-Vita-Desi is 500. Determine the distance of Ardi and Desi
   and the distance of Ardi from Vita!
Matematika - The Rules Of Sine

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Matematika - The Rules Of Sine

  • 2. A b c B a C
  • 4. C Height line is the line from an angle of triangle b a that is perpendicular with opposite side. h A c D B
  • 5. C Look at the triangle beside! By the same way, we get : a b A D c B So, we get : It is called by the rule of sine. This rules can be used for cases : • Two angles and any one side length are given • Two sides and an angle of opposite side are given
  • 6. Example Determine the size of angle and the length of sides that are not given from the triangle below : B 5 cm A C
  • 8. Activities Class 1. Determine the undetermined elements from triangle of KLM : M K 25 cm L Given : the angle of K is 400 and the angle of L is 550. 2. Desi and Vita are standing on the edge of a river and are separated as far as 40 m. across the river, Ardi is seen to be standing and looking at both the girls. If the angle formed by Ardi-Desi-Vita is 650 and the angle formed by Ardi-Vita-Desi is 500. Determine the distance of Ardi and Desi and the distance of Ardi from Vita!