document.write( "Question 802642: The measures of the sides of a triangle are 10, 7, and 9. Find the measure of the largest angle to the nearest degree \n" ); document.write( "
Algebra.Com's Answer #484049 by KMST(5328)\"\" \"About 
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Triangles that are not right triangles can be solved by
\n" ); document.write( "Law of Sines (if you have or can get one side and the opposite angle)
\n" ); document.write( "or
\n" ); document.write( "Law of Cosines (otherwise).
\n" ); document.write( "
\n" ); document.write( "Law of Cosines:
\n" ); document.write( " \"a%5E2=b%5E2%2Bc%5E2=2ab%2Acos%28A%29\"
\n" ); document.write( "The law of cosines can be used to find angle A when we just have the lengths of the 3 sides.
\n" ); document.write( "The largest angle is the one opposite the longest side, so in a triangle with side lengths 7,9,and 10, the largest angle will be opposite the side with length 10.
\n" ); document.write( "So we set \"a=10\" and try to find \"A\".
\n" ); document.write( "\"10%5E2=7%5E2%2B9%5E2-2%2A7%2A9%2Acos%28A%29\"
\n" ); document.write( "\"100=49%2B81-126cos%28A%29\"
\n" ); document.write( "\"100=130-126cos%28A%29\"
\n" ); document.write( "\"126cos%28A%29=130-100\"
\n" ); document.write( "\"126cos%28A%29=30\"
\n" ); document.write( "\"cos%28A%29=30%2F126=about0.2381\" --> \"A=76.2%5Eo\"
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