document.write( "Question 231154: the lengths of DG, EF and FG are given in units. The is the area, in square units of Triangle DEG?
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document.write( "DE=12
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document.write( "EF=7
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document.write( "FG=10 \n" );
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Algebra.Com's Answer #171112 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \r \n" ); document.write( "\n" ); document.write( "We can find the area of triangle DEF by using the hypotenuse Formula. \r \n" ); document.write( "\n" ); document.write( " DF(squared) + EF(squared)= DE(squared) \r \n" ); document.write( "\n" ); document.write( "Plug in the numbers. \r \n" ); document.write( "\n" ); document.write( " DF(squared) + 7(squared) = 12(squared)\r \n" ); document.write( "\n" ); document.write( "Do the math. \r \n" ); document.write( "\n" ); document.write( " DF(sq)+ 49 = 144\r \n" ); document.write( "\n" ); document.write( "Subtract 49 from both sides. \r \n" ); document.write( "\n" ); document.write( " DF (sq) = 95\r \n" ); document.write( "\n" ); document.write( "Square root both sides. \r \n" ); document.write( "\n" ); document.write( " DF = sq root of 95 \n" ); document.write( "Now plug in the area formula for that triangle which is 1/2 Base times height\r \n" ); document.write( "\n" ); document.write( " 1/2(7)sq rt 95 or \n" ); document.write( " \n" ); document.write( " 3.5 sq rt 95 we can approx sq rt of 95 to 9.75 \r \n" ); document.write( "\n" ); document.write( "Therefore: area of this triangle is 34.125 Sq Units\r \n" ); document.write( "\n" ); document.write( "Now plug in the area formula for triangle DFG. \r \n" ); document.write( "\n" ); document.write( " 1/2(9.75)10 = Area\r \n" ); document.write( "\n" ); document.write( "Do the math. \r \n" ); document.write( "\n" ); document.write( " 48.75 Square Units\r \n" ); document.write( "\n" ); document.write( "Add both triangles and you have: \r \n" ); document.write( "\n" ); document.write( " 82.875 square units\r \n" ); document.write( "\n" ); document.write( "RJ Toftness \n" ); document.write( "Author \"Unlock the Mystery to Math\" \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |