document.write( "Question 277769: The area of a right triangle is 120 sq. in. The longer leg is 4 more than twice the shorter leg. Find the length of each leg. Show all work to receive credit.
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Algebra.Com's Answer #202254 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! Area=bh/2 \n" ); document.write( "b=2h+4 \n" ); document.write( "120=(2h+4)h/2 \n" ); document.write( "120=h^2+2h/2 \n" ); document.write( "120=h^2+2h \n" ); document.write( "h^2+2h-120=0 \n" ); document.write( "(h-10)(h+12) \n" ); document.write( "h-10=0 \n" ); document.write( "h=10 ans. \n" ); document.write( "b=2*10+4 \n" ); document.write( "h=20+4 \n" ); document.write( "h=24 ans. \n" ); document.write( "Proof: \n" ); document.write( "120=10*24/2 \n" ); document.write( "120=240/2 \n" ); document.write( "120=120 \n" ); document.write( " |