document.write( "Question 708475: The height of a triangle is 8m less than the base. The area is 10cm^2. Find the height and the base. \r
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document.write( "I have tried the equation 10=b(b-8)1/2. I then subtracted 10 from both sides and turned the left side into b^2 -8b-5. Then I could not figure out how to factor correctly. Am I doing the equation wrong or did I mess up on the problem entirely? \n" );
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Algebra.Com's Answer #436113 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The height of a triangle is 8m less than the base. The area is 10cm^2. Find the height and the base. \n" ); document.write( "I have tried the equation 10=b(b-8)(1/2). \n" ); document.write( "b(b-8) = 20 \n" ); document.write( "b^2 - 8b - 20 = 0 \n" ); document.write( "---- \n" ); document.write( "Factor: \n" ); document.write( "b^2-10b + 2b-20 = 0 \n" ); document.write( "b(b-10) + 2(b-10) = 0 \n" ); document.write( "(b-10)(b+2) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "base = 10 cm \n" ); document.write( "altitude = b-8 = 2 cm \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================== \n" ); document.write( " |