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
\n" ); document.write( "\n" ); document.write( "a) sqrt (56)m^2 b) 8m2 c) 10m2 d) 12m2 e) 16m2
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Algebra.Com's Answer #183020 by edjones(8007)\"\" \"About 
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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
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\n" ); document.write( "Ed
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