document.write( "Question 108873: find the perimeter of a right triangle if the hypotenuse is twice as long as one of the legs and the other leg is 3 \n" ); document.write( "
Algebra.Com's Answer #79436 by edjones(8007)\"\" \"About 
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a^2+b^2=c^2
\n" ); document.write( "a^2+3^2=(2a)^2
\n" ); document.write( "a^2+9=4a^2
\n" ); document.write( "-4a^2+a^2+9=0
\n" ); document.write( "-3a^2+9=0
\n" ); document.write( "3a^2-9=0 multiply each side by -1
\n" ); document.write( "3(a^2-3)=0
\n" ); document.write( "a^2=3
\n" ); document.write( "a=sqrt(3), b=3, c=2sqrt(3)
\n" ); document.write( "perimeter=sqrt(3)+3+2sqrt(3)
\n" ); document.write( "= 3+3sqrt(3)
\n" ); document.write( "Always check:
\n" ); document.write( "(sqrt(3))^2+3^2=(2sqrt(3))^2
\n" ); document.write( "3+9=4*3 true
\n" ); document.write( "Ed\r
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