document.write( "Question 436153: The hypotenuse of an isosceles right triangle is 7 centimeters longer than either of its legs. Find the exact length of each side(an isosceles right triangle is a right triangle whose legs are the sae length.)
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document.write( "Find the length of one leg?\r
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document.write( "Find the length of the other leg?\r
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document.write( "Find the length of the hypotenuse?\r
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document.write( "(Simplfy your answer using radicals as needed.) \n" );
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Algebra.Com's Answer #301754 by mananth(16946)![]() ![]() You can put this solution on YOUR website! one leg x cm \n" ); document.write( "other leg = x cm \n" ); document.write( "hypotenuse = x+7\r \n" ); document.write( "\n" ); document.write( "x^2+x^2=(x+7)^2 \n" ); document.write( "2x^2=x^2+14x+49 \n" ); document.write( "x^2-14x-49=0 \n" ); document.write( "Solve by quadratic formula \n" ); document.write( "a= 1 b= -14 c= -49 \n" ); document.write( " \n" ); document.write( "b^2-4ac=196+196 \n" ); document.write( "b^2-4ac=392==> sqrt( 392 )=19.8 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=(14+19.8)/ 2 \n" ); document.write( "x1= 16.9 \n" ); document.write( "x2=(14-19.8)/2 \n" ); document.write( "x2= -2.9 \n" ); document.write( "Ignore negative value \n" ); document.write( "The legs are 16.9 cm \n" ); document.write( "Hypotenuse = 23.9 cm \n" ); document.write( " \n" ); document.write( " |