document.write( "Question 455003: How can we find the length of one side of a triangle when two sides and an angle is given using sin and cos?Please give an example. \n" ); document.write( "

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How can we find the length of one side of a triangle when two sides and an angle is given using sin and cos?Please give an example.
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\n" ); document.write( "When two sides and the included angle are given, use the Law of Cosines to find the third side.
\n" ); document.write( "When two sides and not the included angle are given, use the Law of Sines to find a second angle. Knowing two angles, you can always find the third. After this you can use the Law of Sines or Cosines to find the third side.
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\n" ); document.write( "Example:
\n" ); document.write( "Draw a triangle labeled A,B,C (clockwise), with corresponding sides a,b,c opposite these angles.
\n" ); document.write( "Say, sides b & c and the included angle A are given. Side a would be calculated directly by using the Law of Cosines as follows: a^2=b^2+c^2-2*b*c Cos A.
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\n" ); document.write( "Say, sides b & c and the angle B are given. First, we need to find a second angle by using the Law of Sines as follows: sin B/b=Sin C/c, Sin C=(c/b)sin B. After you find C, you can easily find A, after which you can use either Law of Sines or Cosines to find the third side. \n" ); document.write( "

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