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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |