trigonometry

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May 15, 2008, 10:52 AM

serenity212

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Join Date: May 2008

Posts: 1

trigonometry

could you please help me with this trigonometric problem?
a triangle has two sides of length of 30cm and an angle of 50deg. unfortunately, the position of the angle is not known. sketch the 2 possible triangles and use them to work out the 2 possible lengths of the third side of the triangle.
thanks.

Answers

May 16, 2008, 08:45 AM	#2

galactus Mathematics Expert Join Date: Sep 2006 Location: Chaneysville, Pa. Posts: 897	One case is using the law of cosines. I include a diagram. $a=\sqrt{b^{2}+c^{2}-2bccos({\theta})}$ $b=c=30, \;\ {\theta}=50$ $a=\sqrt{30^{2}+30^{2}-2(30)(30)cos(50)}$ The other case, use the law of sines. Comments on this post serenity212 agrees: this answer realy helped. thank you very much! Attached Images

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