document.write( "Question 1045998: the triangle has 6m,8m and 10m .what is the angel formen by the intersection of the two shortest sides?\r
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Algebra.Com's Answer #661497 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! The smallest two sides are 6 m and 8 m. The angle between them is opposite the side 10 m.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Law of Cosines\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c^2 = a^2 + b^2 - 2*a*b*cos(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10^2 = 6^2 + 8^2 - 2*6*8*cos(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 = 36 + 64 - 96*cos(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 = 100 - 96*cos(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 - 100 = 100 - 96*cos(C) - 100\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = -96*cos(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-96*cos(C) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(C) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C = 90 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The final answer is 90 degrees. \n" ); document.write( " |