document.write( "Question 322449: Two angles of a triangle measure 75° and 51°. The side opposite the largest angle measures 25 inches. How long is the shortest side? \n" ); document.write( "
Algebra.Com's Answer #230856 by nyc_function(2741)\"\" \"About 
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I know that this is a geometry question but it can be solved using trigonometry.
\n" ); document.write( "We use the law of sines.\r
\n" ); document.write( "\n" ); document.write( "The sum of the angles of a triangle is 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "To find the missing angle, add 51 + 75 and then subtract the sum from 180.
\n" ); document.write( "This will give you 54 degrees.\r
\n" ); document.write( "\n" ); document.write( "We now use the law of sines.\r
\n" ); document.write( "\n" ); document.write( "Let x = the missing side we want to find\r
\n" ); document.write( "\n" ); document.write( "sin51/x = sin75/25\r
\n" ); document.write( "\n" ); document.write( "x(sin75) = sin51(25)\r
\n" ); document.write( "\n" ); document.write( "x(sin75) = 19.42864904\r
\n" ); document.write( "\n" ); document.write( "x = 19.42864904/sin75\r
\n" ); document.write( "\n" ); document.write( "x = 20.11401756\r
\n" ); document.write( "\n" ); document.write( "The side opposite the smallest angle is 20 inches.\r
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