document.write( "Question 251322: Find the area of a right triangle which has a perimeter of length 16 meters and a hypotenuse with a length of 7 meters.\r
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document.write( "a) sqrt (56)m^2 b) 8m2 c) 10m2 d) 12m2 e) 16m2 \n" );
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Algebra.Com's Answer #183020 by edjones(8007)![]() ![]() You can put this solution on YOUR website! c=7 \n" ); document.write( "16-7=9=a+b \n" ); document.write( "b=9-a \n" ); document.write( "a+(9-a)+7=16 \n" ); document.write( "a^2+b^2=c^2 \n" ); document.write( "a^2+(9-a)^2=c^2 \n" ); document.write( "a^2+81-18a+a^2=49 \n" ); document.write( "2a^2-18a+32=0 \n" ); document.write( "a^2-9a+16=0 \n" ); document.write( "a^2-9a =-16 \n" ); document.write( "a^2-9a+(81/4)=(81/4)-16 completing the square. \n" ); document.write( "(x-(9/2))^2=17/4 \n" ); document.write( "x-(9/2)=+-sqrt(17)/2 \n" ); document.write( "x=(9+sqrt17)/2, x=(9-sqrt(17))/2 \n" ); document.write( "((9+sqrt17)/2) * ((9-sqrt(17))/2) * (1/2) \n" ); document.write( "=8m^2 \n" ); document.write( ". \n" ); document.write( "Ed \n" ); document.write( " |