document.write( "Question 1091484: Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. \r
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document.write( "A = 48°, b = 30 ft, c = 14 ft\r
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document.write( "Show your work please so I can understand. \n" );
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Algebra.Com's Answer #705890 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! using the law of cosines \n" ); document.write( ": \n" ); document.write( "A^2 = 30^2 + 14^2 - 30 * 14 * cos(48) = 814.9651 \n" ); document.write( ": \n" ); document.write( "A = square root(814.9651) = 28.5476 \n" ); document.write( ": \n" ); document.write( "perimeter of triangle(P) = 30 + 14 + 28.5476 = 72.5476 \n" ); document.write( ": \n" ); document.write( "using Heron's formula for the area of a triangle \n" ); document.write( ": \n" ); document.write( "s = P/2 = 72.5476 / 2 = 36.2738 \n" ); document.write( ": \n" ); document.write( "Area of triangle = square root( 36.2738 * (36.2738 - 30) * (36.2738 - 14) * (36.2738 - 28.5476) ) = 197.8983 \n" ); document.write( ": \n" ); document.write( "**************************************************** \n" ); document.write( "Area of triangle = 197.90 square feet \n" ); document.write( "**************************************************** \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |